Les fonctions

DNB Asie- 2019 ⚓

Les représentations graphiques C1 et C2 de deux fonctions sont données dans le repère ci-dessous.

Une de ces deux fonctions est la fonction f définie par f (x) = −2x + 8.

Rappel :

f (x) = −2x +8, f est représentée par la courbe C2.

Rappel :

Rappel : f (x) = −2x + 8

Rappel :

Rappel : f (x) = −2x + 8

DNB Métropole septembre - 2019 ⚓

Les activités humaines produisent du dioxyde de carbone (CO2) qui contribue au réchauffement climatique. Le graphique suivant représente l'évolution de la concentration atmosphérique moyenne en CO2 (en ppm) en fonction du temps (en année).

Question⚓

2. On veut modéliser l'évolution de la concentration de CO2 en fonction du temps à l'aide d'une fonction g où g(x) est la concentration de CO2 en ppm en fonction de l'année x.

a. Expliquer pourquoi une fonction affine semble appropriée pour modéliser la concentration en CO2 en fonction du temps entre 1995 et 2005.

</div></div></div></div></div><div class="exercice withSol qcu"><h3 id="aN345" class="exercice_ti"><span /></h3><div class="exercice_co"><script type="text/JavaScript"><![CDATA[
var rmK88OwUySb2xKAvcEc4Ch_AwithSol = {

fId : "rmK88OwUySb2xKAvcEc4Ch",
	fCurSeq : null,
	initSeq : function(pCodeSeq){
	try {
		if(pCodeSeq==null) return;
		if(this.fCurSeq!=null) this.closeSeq();
		this.fCurSeq = pCodeSeq;
		switch(this.fCurSeq) {

case "play" : {
		var vForm = document.forms.rmK88OwUySb2xKAvcEc4Ch_AwithSol_form;
		for (var i=0; i < vForm.rmK88OwUySb2xKAvcEc4Ch_AwithSol_input.length; i++) {
			vForm.rmK88OwUySb2xKAvcEc4Ch_AwithSol_input[i].disabled = false;
			vForm.rmK88OwUySb2xKAvcEc4Ch_AwithSol_input[i].checked = false;
		}

var vLoadRespSession = "";
var vResp = scServices.assmntMgr.getResponse(this.fId, vLoadRespSession, "choice");
		if(vResp != null) sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_in"+vResp).checked = true;

this.setSolution(false);
scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N_globalExp"), "collapsed");
scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N_responseTi"), "invisible");
scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N0_choiceExp"), "collapsed");
scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N1_choiceExp"), "collapsed");
scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N_score"), "invisible");
scAssmntMgr.setToggleStatus(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_S_N77"), false);
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		this.setResp = function(pInput, pIdx) {
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this.computeScore();
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this.computeScore = function() {

this.fMinPts = 0;
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		this.fScorePts = document.forms.rmK88OwUySb2xKAvcEc4Ch_AwithSol_form.rmK88OwUySb2xKAvcEc4Ch_AwithSol_input[0].checked ?  this.fMaxPts : this.fMinPts;

//alert("score:::::"+this.fMinPts+" - "+this.fScorePts+" - "+this.fMaxPts);
var vScoreSession = "";
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this.refreshScoresFeedbacks();
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if(vRespSession != vLoadRespSession) {
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		scServices.assmntMgr.setResponse(this.fId, vRespSession, "choice", (i < vForm.rmK88OwUySb2xKAvcEc4Ch_AwithSol_input.length) ? vForm.rmK88OwUySb2xKAvcEc4Ch_AwithSol_input[i].value : null);
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this.computeScore();

scServices.assmntMgr.commit();
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}
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var vSess="";
scServices.assmntMgr.resetResponses(this.fId, vSess);
scServices.assmntMgr.setPts(this.fId, vSess, null, null, null); 
this.initSeq("play");

scServices.assmntMgr.commit();
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scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N_score"), "invisible");
this.setSolution(false); scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N_globalExp"), "collapsed");
scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N0_choiceExp"), "collapsed"); scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N1_choiceExp"), "collapsed"); scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N_responseTi"), "invisible");
var vForm=document.forms.rmK88OwUySb2xKAvcEc4Ch_AwithSol_form; for (var i=0; i < vForm.rmK88OwUySb2xKAvcEc4Ch_AwithSol_input.length; i++) vForm.rmK88OwUySb2xKAvcEc4Ch_AwithSol_input[i].disabled = false; 
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scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N_score"), "visible");
this.setSolution(true); scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N_globalExp"), "visible");
scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N0_choiceExp"), "visible"); scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N1_choiceExp"), "visible"); scAssmntMgr.setMode(sc$("rmK88OwUySb2xKAvcEc4Ch_AwithSol_N_responseTi"), "visible");
var vForm=document.forms.rmK88OwUySb2xKAvcEc4Ch_AwithSol_form; for (var i=0; i < vForm.rmK88OwUySb2xKAvcEc4Ch_AwithSol_input.length; i++) vForm.rmK88OwUySb2xKAvcEc4Ch_AwithSol_input[i].disabled = true; 
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case "play" : {

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}
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return "play";
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},
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var vSol = vForm.rmK88OwUySb2xKAvcEc4Ch_AwithSol_sol[i];
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}
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var vSol = vForm.rmK88OwUySb2xKAvcEc4Ch_AwithSol_sol[i];
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};

scOnLoads[scOnLoads.length] = rmK88OwUySb2xKAvcEc4Ch_AwithSol;
scOnUnloads[scOnUnloads.length] = rmK88OwUySb2xKAvcEc4Ch_AwithSol;
]]></script><div id="rmK88OwUySb2xKAvcEc4Ch_AwithSol_A" style="display:none;"><div class="quizBody"><div class="question"><div><div><div class="txt "><p>b. Arnold et Billy proposent chacun une expression pour la fonction g :</p><p>Arnold propose l'expression g(x) = 2x − 3630 ;</p><p>Billy propose l'expression g(x) = 2x − 2000.</p><p>Quelle expression modélise le mieux l'évolution de la concentration de CO2 ? Justifier la réponse à l'étape suivante.</p></div></div></div></div><div class="response" aria-live="polite"><h4 id="rmK88OwUySb2xKAvcEc4Ch_AwithSol_N_responseTi" class="response_ti"><span aria-hidden="true"><span>Votre choix</span></span><span><span>Choix attendu</span></span><span aria-hidden="true"><span>Réponse</span></span></h4><form action="" name="rmK88OwUySb2xKAvcEc4Ch_AwithSol_form" id="rmK88OwUySb2xKAvcEc4Ch_AwithSol_form"><ul class="choiceList "><li class="choiceList_ch "><div class="choiceList_in "><input type="radio" name="rmK88OwUySb2xKAvcEc4Ch_AwithSol_input" id="rmK88OwUySb2xKAvcEc4Ch_AwithSol_in0" value="0" onclick="rmK88OwUySb2xKAvcEc4Ch_AwithSol.setResp(this, 0);" aria-labelledby="rmK88OwUySb2xKAvcEc4Ch_AwithSol_lbl0" /></div><div class="choiceList_sol " style="display:none;"><input type="radio" name="rmK88OwUySb2xKAvcEc4Ch_AwithSol_sol" id="rmK88OwUySb2xKAvcEc4Ch_AwithSol_sol0" value="" disabled="true" aria-labelledby="rmK88OwUySb2xKAvcEc4Ch_AwithSol_lbl0" /></div><div class="choiceList_la " id="rmK88OwUySb2xKAvcEc4Ch_AwithSol_lbl0"><div class="choice"><div class="label"><p>l'expression d'Arnold</p></div></div></div></li><li class="choiceList_ch "><div class="choiceList_in "><input type="radio" name="rmK88OwUySb2xKAvcEc4Ch_AwithSol_input" id="rmK88OwUySb2xKAvcEc4Ch_AwithSol_in1" value="1" onclick="rmK88OwUySb2xKAvcEc4Ch_AwithSol.setResp(this, 1);" aria-labelledby="rmK88OwUySb2xKAvcEc4Ch_AwithSol_lbl1" /></div><div class="choiceList_sol " style="display:none;"><input type="radio" name="rmK88OwUySb2xKAvcEc4Ch_AwithSol_sol" id="rmK88OwUySb2xKAvcEc4Ch_AwithSol_sol1" value="" disabled="true" aria-labelledby="rmK88OwUySb2xKAvcEc4Ch_AwithSol_lbl1" /></div><div class="choiceList_la " id="rmK88OwUySb2xKAvcEc4Ch_AwithSol_lbl1"><div class="choice"><div class="label"><p>l'expression de Billy</p></div></div></div></li></ul></form></div><div class="toolbar"><a role="button" title="Afficher le score et la correction" href="#" onkeydown="scDynUiMgr.handleBtnKeyDwn(event);" onkeyup="scDynUiMgr.handleBtnKeyUp(event);" onclick="rmK88OwUySb2xKAvcEc4Ch_AwithSol.onActionN77(this); return false;" class="btnQuiz correction " id="rmK88OwUySb2xKAvcEc4Ch_AwithSol_S_N77"><span>Correction</span></a><a role="button" title="Effacer les réponses" href="#" onkeydown="scDynUiMgr.handleBtnKeyDwn(event);" onkeyup="scDynUiMgr.handleBtnKeyUp(event);" onclick="rmK88OwUySb2xKAvcEc4Ch_AwithSol.onActionNa3(this); return false;" class="btnQuiz reset "><span>Recommencer</span></a><span class="scoreBox"><span class="score " aria-live="polite" id="rmK88OwUySb2xKAvcEc4Ch_AwithSol_N_score"><span id="rmK88OwUySb2xKAvcEc4Ch_AwithSol_SNc2"><span /></span></span></span></div></div></div></div></div><div class="exercice withSol openQuestion"><h3 id="aN388" class="exercice_ti"><span /></h3><div class="exercice_co"><div class="block question" id="pPQkIP2udQhp8FUy9ff8Ph5"><h4 id="aN38d" class="block_ti"><span>Question</span><a href="#pPQkIP2udQhp8FUy9ff8Ph5" class="anchor" title="Lier vers cette question"><span>⚓</span></a></h4><div class="block_co "><div class="txt "><p>L'expression qui permet de modéliser la situation est l'expression proposée par Arnold, c'est l'expression g(x)= 2x−3630. Justifier pourquoi il s'agit de l'expression la plus appropriée.</p></div><div class="studentArea "><textarea id="brM12AEnkbk0KZpiOBMI0i" rows="5" /></div></div></div></div></div><div class="exercice withSol cloze"><h3 id="aN39b" class="exercice_ti"><span /></h3><div class="exercice_co"><script type="text/JavaScript"><![CDATA[
var kkfPXr4cMYdsSUVpGevWah_AwithSol = {

fId : "kkfPXr4cMYdsSUVpGevWah",
	fCurSeq : null,
	initSeq : function(pCodeSeq){
	try {
		if(pCodeSeq==null) return;
		if(this.fCurSeq!=null) this.closeSeq();
		this.fCurSeq = pCodeSeq;
		switch(this.fCurSeq) {

case "play" : {
		var vForm = document.forms.kkfPXr4cMYdsSUVpGevWah_AwithSol_form;
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			var vVal = vForm[pFieldIndex].value;
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scAssmntMgr.setToggleStatus(sc$("kkfPXr4cMYdsSUVpGevWah_AwithSol_S_N6b"), false);
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this.computeScore = function() {

this.fMinPts = 0;
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this.refreshScoresFeedbacks();
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scServices.assmntMgr.commit();
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scServices.assmntMgr.commit();
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		}
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closeSeq: function(){
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case "play" : {

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}
		this.fCurSeq = null;
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return "play";
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refreshScoresFeedbacks : function(){

var vScoreNode = sc$("kkfPXr4cMYdsSUVpGevWah_AwithSol_SNb2");

},
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},
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		if (!String.prototype.trim) {String.prototype.trim = function () {return this.replace(/^[\s\uFEFF\xA0]+|[\s\uFEFF\xA0]+$/g, '');};}

this.initSeq(this.getOnLoadSeq()); 
		var vNodeRoot = sc$("kkfPXr4cMYdsSUVpGevWah_AwithSol_A");
		vNodeRoot.style.display = "block";

},
	onUnload: function(){
		this.closeSeq();
	},
	loadSortKey: "A",
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};

scOnLoads[scOnLoads.length] = kkfPXr4cMYdsSUVpGevWah_AwithSol;
scOnUnloads[scOnUnloads.length] = kkfPXr4cMYdsSUVpGevWah_AwithSol;
]]></script><div id="kkfPXr4cMYdsSUVpGevWah_AwithSol_A" style="display:none;"><div class="quizBody"><div class="question"><div><div><div class="txt "><p>c. En utilisant la fonction g(x)= 2x−3630 qui modélise la situation ci-dessus, indiquer l'année pour laquelle la valeur de 450 ppm est atteinte.</p></div></div></div></div><div class="response" aria-live="polite"><form action="javascript:void(0);" name="kkfPXr4cMYdsSUVpGevWah_AwithSol_form" id="kkfPXr4cMYdsSUVpGevWah_AwithSol_form"><p>La valeur de 450 ppm est atteinte en <span class="gap_tl "><span><input name="N43e" type="text" size="6" onblur="kkfPXr4cMYdsSUVpGevWah_AwithSol.setResp(this);" class="gapInput " /></span><span id="kkfPXr4cMYdsSUVpGevWah_AwithSol_X_N43e" class="gapAnswer "><span>2040</span></span></span>.</p></form></div><div class="toolbar"><a role="button" title="Afficher le score et la correction" href="#" onkeydown="scDynUiMgr.handleBtnKeyDwn(event);" onkeyup="scDynUiMgr.handleBtnKeyUp(event);" onclick="kkfPXr4cMYdsSUVpGevWah_AwithSol.onActionN6b(this); return false;" class="btnQuiz correction " id="kkfPXr4cMYdsSUVpGevWah_AwithSol_S_N6b"><span>Correction</span></a><a role="button" title="Effacer les réponses" href="#" onkeydown="scDynUiMgr.handleBtnKeyDwn(event);" onkeyup="scDynUiMgr.handleBtnKeyUp(event);" onclick="kkfPXr4cMYdsSUVpGevWah_AwithSol.onActionN93(this); return false;" class="btnQuiz reset "><span>Recommencer</span></a><span class="scoreBox"><span class="score " aria-live="polite" id="kkfPXr4cMYdsSUVpGevWah_AwithSol_N_score"><span id="kkfPXr4cMYdsSUVpGevWah_AwithSol_SNb2"><span /></span></span></span></div></div></div></div></div><div class="exercice withSol cloze"><h3 id="aN3c2" class="exercice_ti"><span /></h3><div class="exercice_co"><script type="text/JavaScript"><![CDATA[
var V0j7sFfJxhdsVsP4W7o4zf_AwithSol = {

fId : "V0j7sFfJxhdsVsP4W7o4zf",
	fCurSeq : null,
	initSeq : function(pCodeSeq){
	try {
		if(pCodeSeq==null) return;
		if(this.fCurSeq!=null) this.closeSeq();
		this.fCurSeq = pCodeSeq;
		switch(this.fCurSeq) {

case "play" : {
		var vForm = document.forms.V0j7sFfJxhdsVsP4W7o4zf_AwithSol_form;
		this._Sol = {N46c:{s:[{isMatch:function(pResp){if(typeof pResp == 'undefined') return false; pResp=pResp.toUpperCase().trim(); return '467'==pResp || false;}, score:1},null],min:0,max:1},_:null};
		this.getSolIdx = function(pFieldIndex){
			var vF = this._Sol[pFieldIndex];
			var vVal = vForm[pFieldIndex].value;
			for (var i = 0; i < vF.s.length-1; i++) if(vF.s[i].isMatch(vVal)) return i;
			return -1;
		};
		this.getFieldScore = function(pFieldIndex) {
			var vI = this.getSolIdx(pFieldIndex);
			if(vI >= 0) return this._Sol[pFieldIndex].s[vI].score;
			return 0;
		};
		this.refreshResultInput = function(pInput){
			if(this._resultDisplay == "none") pInput.parentNode.className="";
			else {
				var vSol = this._Sol[pInput.name];
				var vRes = Math.round((this.getFieldScore(pInput.name) - vSol.min) / (vSol.max - vSol.min) * 1);
				pInput.parentNode.className= "assmntResult_" + vRes;
			}
		};
var vLoadRespSession = "";

for (var i=0; i < vForm.length; i++) {
			var vFi = vForm.elements[i];
			if (vFi.name) {
				this.setInteraction(vFi, "enabled");
				vFi.value = vLoadRespSession == null ? "" : scServices.assmntMgr.getResponse(this.fId, vLoadRespSession, vFi.name) || "";
			}
		}
	this.refreshResult("none");

this.setSolution('collapsed', 'collapsed');
scAssmntMgr.setMode(sc$("V0j7sFfJxhdsVsP4W7o4zf_AwithSol_N_globalExp"), "collapsed");
scAssmntMgr.setMode(sc$("V0j7sFfJxhdsVsP4W7o4zf_AwithSol_N_score"), "invisible");
scAssmntMgr.setToggleStatus(sc$("V0j7sFfJxhdsVsP4W7o4zf_AwithSol_S_N6b"), false);
var vRespSession = "";
		if(scServices.assmntMgr.getCompletionStatus(this.fId, vRespSession)=="notAttempt") scServices.assmntMgr.setCompletionStatus(this.fId, vRespSession, "attempt");
		this.setResp = function(pInput) {
			scServices.assmntMgr.setResponse(this.fId, vRespSession, pInput.name, pInput.value);
			this.computeScore();
			scServices.assmntMgr.commit();
			this.refreshResultInput(pInput);
		}

this.computeScore = function() {

this.fMinPts = 0;
			this.fMaxPts = 0;
			for(var vF in this._Sol) if(vF!="_") {this.fMinPts += this._Sol[vF].min; this.fMaxPts += this._Sol[vF].max;}
			this.fScorePts = this.getFieldScore("N46c")+0;

//alert("score:::::"+this.fMinPts+" - "+this.fScorePts+" - "+this.fMaxPts);
var vScoreSession = "";
			if(this.fScorePts != null) scServices.assmntMgr.setPts(this.fId, vScoreSession, this.fMinPts, this.fScorePts, this.fMaxPts);

this.refreshScoresFeedbacks();
		}

if(vRespSession != vLoadRespSession) {for (var i=0; i < vForm.length; i++) {var vFi = vForm.elements[i]; if (vFi.name) scServices.assmntMgr.setResponse(this.fId, vRespSession, vFi.name, vFi.value);}}
this.computeScore();

scServices.assmntMgr.commit();
		break;
	}

}
	}catch(e){alert("failed:::"+e)};
	},
	onActionN93 : function(pButton){
		if(scAssmntMgr.isDisabled(pButton)) return;
var vSess="";
scServices.assmntMgr.resetResponses(this.fId, vSess);
scServices.assmntMgr.setPts(this.fId, vSess, null, null, null); 
this.initSeq("play");

scServices.assmntMgr.commit();
	},
	onActionN6b : function(pButton){
		if(scAssmntMgr.isDisabled(pButton)) return;
		var vIsOn = scAssmntMgr.isToggleOn(pButton);
		if(vIsOn) {
scAssmntMgr.setMode(sc$("V0j7sFfJxhdsVsP4W7o4zf_AwithSol_N_score"), "invisible");
this.setSolution('collapsed', 'collapsed'); scAssmntMgr.setMode(sc$("V0j7sFfJxhdsVsP4W7o4zf_AwithSol_N_globalExp"), "collapsed");
var vForm=document.forms.V0j7sFfJxhdsVsP4W7o4zf_AwithSol_form; for (var i=0; i < vForm.length; i++) {var vFi = vForm.elements[i]; if (vFi.name) this.setInteraction(vFi, "enabled");}this.refreshResult("none");
		} else {
scAssmntMgr.setMode(sc$("V0j7sFfJxhdsVsP4W7o4zf_AwithSol_N_score"), "visible");
this.setSolution('collapsed', 'visible'); scAssmntMgr.setMode(sc$("V0j7sFfJxhdsVsP4W7o4zf_AwithSol_N_globalExp"), "visible");
var vForm=document.forms.V0j7sFfJxhdsVsP4W7o4zf_AwithSol_form; for (var i=0; i < vForm.length; i++) {var vFi = vForm.elements[i]; if (vFi.name) this.setInteraction(vFi, "disabled");}this.refreshResult("addClass");
		}
		scAssmntMgr.setToggleStatus(pButton, ! vIsOn);
		scServices.assmntMgr.commit();
	},

closeSeq: function(){
		var vForm = document.forms.V0j7sFfJxhdsVsP4W7o4zf_AwithSol_form;
		switch(this.fCurSeq) {

case "play" : {

break;
	}

}
		this.fCurSeq = null;
	},
	getOnLoadSeq:function() {

return "play";
	},

refreshScoresFeedbacks : function(){

var vScoreNode = sc$("V0j7sFfJxhdsVsP4W7o4zf_AwithSol_SNb2");

},
	setSolution : function(pIfRight, pIfNotBest){
		for(var vF in this._Sol) if(vF != "_") scAssmntMgr.setMode(sc$("V0j7sFfJxhdsVsP4W7o4zf_AwithSol_X_"+vF), this.getSolIdx(vF)==0 ? pIfRight || "collapsed" : pIfNotBest || "collapsed");
	},
	setInteraction : function(pElt, pMode){
		if(!pElt) return;
		switch(pMode) {
		case "collapsed" :
			pElt.style.display = "none";
			if("scSiLib" in window) scSiLib.fireResizedNode(pElt);
			break;
		case "invisible" :
			pElt.style.display = "";
			pElt.style.visibility = "hidden";
			if("scSiLib" in window) scSiLib.fireResizedNode(pElt);
			break;
		case "enabled" : 
		case "disabled" : 
			pElt.disabled = (pMode=="disabled");
		default :
			pElt.style.display = "";
			pElt.style.visibility = "visible";
			if("scSiLib" in window) scSiLib.fireResizedNode(pElt);
		}
	},
	refreshResult : function(pMode){
		this._resultDisplay = pMode || "none";
		var vForm = document.forms.V0j7sFfJxhdsVsP4W7o4zf_AwithSol_form;
		for (var i=0; i < vForm.length; i++) { var vFi = vForm.elements[i]; if (vFi.name) this.refreshResultInput(vFi);}

},
	onLoad: function(){
		if (!String.prototype.trim) {String.prototype.trim = function () {return this.replace(/^[\s\uFEFF\xA0]+|[\s\uFEFF\xA0]+$/g, '');};}

this.initSeq(this.getOnLoadSeq()); 
		var vNodeRoot = sc$("V0j7sFfJxhdsVsP4W7o4zf_AwithSol_A");
		vNodeRoot.style.display = "block";

},
	onUnload: function(){
		this.closeSeq();
	},
	loadSortKey: "A",
	unloadSortKey: "A"
};

scOnLoads[scOnLoads.length] = V0j7sFfJxhdsVsP4W7o4zf_AwithSol;
scOnUnloads[scOnUnloads.length] = V0j7sFfJxhdsVsP4W7o4zf_AwithSol;
]]></script><div id="V0j7sFfJxhdsVsP4W7o4zf_AwithSol_A" style="display:none;"><div class="quizBody"><div class="question"><div><div><div class="txt "><p>3. En France, les forêts, grâce à la photosynthèse, captent environ 70 mégatonnes de CO2 par an, ce qui représente 15% des émissions nationales de carbone (année 2016).</p><p>Calculer une valeur approchée à une mégatonne près de la masse M du CO2 émis en France en 2016.</p></div></div></div></div><div class="response" aria-live="polite"><form action="javascript:void(0);" name="V0j7sFfJxhdsVsP4W7o4zf_AwithSol_form" id="V0j7sFfJxhdsVsP4W7o4zf_AwithSol_form"><p>La masse de CO2 émise en 2016 était d'environ <span class="gap_tl "><span><input name="N46c" type="text" size="6" onblur="V0j7sFfJxhdsVsP4W7o4zf_AwithSol.setResp(this);" class="gapInput " /></span><span id="V0j7sFfJxhdsVsP4W7o4zf_AwithSol_X_N46c" class="gapAnswer "><span>467</span></span></span> mégatonnes (à une mégatonne près).</p></form></div><div class="globalExp " id="V0j7sFfJxhdsVsP4W7o4zf_AwithSol_N_globalExp" aria-live="polite"><div><div><div class="txt "><figure role="group" class="image"><div><a href="res/e4269d2d85d741e8bb80f21504af3eeb.jpg" class="adaptedlnk zoom" target="_blank" onclick="scImgMgr.loading(); return false;" title="Cliquez pour agrandir (nouvelle fenêtre)"><img src="res/e4269d2d85d741e8bb80f21504af3eeb_1.jpg" class="adapted " width="630" height="453" alt="" /></a></div></figure></div><div class="txt "><p>1. La concentration de CO2 en ppm en 1995 était de 360 et de 380 en 2005.</p><p>2. a. Entre 195 et 2005, la représentation graphique ressemble fortement à une droite ce qui correspond à la représentation d'une fonction affine.</p><p>2. b. On sait que que l'image de 1995 est proche de 360.</p><p>si g(x) = 2x - 2000 , g(1995) = 1990 alors que si g(x) = 2x - 3630, g(1995) = 360,</p><p>donc c'est Arnold qui semble proposer la fonction la plus adaptée.</p><p>2.c. On cherche x tel que 2x-3630 = 450.</p><p>2x = 4080</p><p>x = 2040</p><p>3. 70 mégatonnes représentent 15% de la production. On cherche x tel que (15/100)*x = 70</p><p>donc x = 70/15*100 = 467 arrondi à 1 unité.</p></div></div></div></div><div class="toolbar"><a role="button" title="Afficher le score et la correction" href="#" onkeydown="scDynUiMgr.handleBtnKeyDwn(event);" onkeyup="scDynUiMgr.handleBtnKeyUp(event);" onclick="V0j7sFfJxhdsVsP4W7o4zf_AwithSol.onActionN6b(this); return false;" class="btnQuiz correction " id="V0j7sFfJxhdsVsP4W7o4zf_AwithSol_S_N6b"><span>Correction</span></a><a role="button" title="Effacer les réponses" href="#" onkeydown="scDynUiMgr.handleBtnKeyDwn(event);" onkeyup="scDynUiMgr.handleBtnKeyUp(event);" onclick="V0j7sFfJxhdsVsP4W7o4zf_AwithSol.onActionN93(this); return false;" class="btnQuiz reset "><span>Recommencer</span></a><span class="scoreBox"><span class="score " aria-live="polite" id="V0j7sFfJxhdsVsP4W7o4zf_AwithSol_N_score"><span id="V0j7sFfJxhdsVsP4W7o4zf_AwithSol_SNb2"><span /></span></span></span></div></div></div></div></div></div></section><section class="section textActivity collapsed"><h2 class="section_ti" id="VrKnhtZQmpeBKMfDTgS1ai"><a role="button" href="#" class="section_open" onkeydown="scDynUiMgr.handleBtnKeyDwn(event);" onkeyup="scDynUiMgr.handleBtnKeyUp(event);" onclick="scDynUiMgr.collBlkToggle(this, scPaLib.findNode('par:/nsi:div.section_co',this),'section_open','section_closed');return false;"><span>DNB Amérique du Nord - 2019</span></a><a href="#VrKnhtZQmpeBKMfDTgS1ai" class="anchor" title="lier vers cette section"><span>⚓</span></a></h2><div class="section_co "><div class="exercice withSol cloze"><h3 id="aN426" class="exercice_ti"><span /></h3><div class="exercice_co"><script type="text/JavaScript"><![CDATA[
var NOCC5QgRMWiQ9Kqkci4Cx_AwithSol = {

fId : "NOCC5QgRMWiQ9Kqkci4Cx",
	fCurSeq : null,
	initSeq : function(pCodeSeq){
	try {
		if(pCodeSeq==null) return;
		if(this.fCurSeq!=null) this.closeSeq();
		this.fCurSeq = pCodeSeq;
		switch(this.fCurSeq) {

case "play" : {
		var vForm = document.forms.NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_form;
		this._Sol = {N4f6:{s:[{isMatch:function(pResp){if(typeof pResp == 'undefined') return false; pResp=pResp.toUpperCase().trim(); return 'FAUSSE'==pResp || false;}, score:1},null],min:0,max:1},N502:{s:[{isMatch:function(pResp){if(typeof pResp == 'undefined') return false; pResp=pResp.toUpperCase().trim(); return '-8'==pResp || false;}, score:1},null],min:0,max:1},N507:{s:[{isMatch:function(pResp){if(typeof pResp == 'undefined') return false; pResp=pResp.toUpperCase().trim(); return 'FAUSSE'==pResp || false;}, score:1},null],min:0,max:1},N519:{s:[{isMatch:function(pResp){if(typeof pResp == 'undefined') return false; pResp=pResp.toUpperCase().trim(); return '5'==pResp || false;}, score:1},null],min:0,max:1},N51c:{s:[{isMatch:function(pResp){if(typeof pResp == 'undefined') return false; pResp=pResp.toUpperCase().trim(); return '11'==pResp || false;}, score:1},null],min:0,max:1},N522:{s:[{isMatch:function(pResp){if(typeof pResp == 'undefined') return false; pResp=pResp.toUpperCase().trim(); return '3'==pResp || false;}, score:1},null],min:0,max:1},N528:{s:[{isMatch:function(pResp){if(typeof pResp == 'undefined') return false; pResp=pResp.toUpperCase().trim(); return 'FAUSSE.'==pResp || false;}, score:1},null],min:0,max:1},N530:{s:[{isMatch:function(pResp){if(typeof pResp == 'undefined') return false; pResp=pResp.toUpperCase().trim(); return 'VRAIE'==pResp || false;}, score:1},null],min:0,max:1},_:null};
		this.getSolIdx = function(pFieldIndex){
			var vF = this._Sol[pFieldIndex];
			var vVal = vForm[pFieldIndex].value;
			for (var i = 0; i < vF.s.length-1; i++) if(vF.s[i].isMatch(vVal)) return i;
			return -1;
		};
		this.getFieldScore = function(pFieldIndex) {
			var vI = this.getSolIdx(pFieldIndex);
			if(vI >= 0) return this._Sol[pFieldIndex].s[vI].score;
			return 0;
		};
		this.refreshResultInput = function(pInput){
			if(this._resultDisplay == "none") pInput.parentNode.className="";
			else {
				var vSol = this._Sol[pInput.name];
				var vRes = Math.round((this.getFieldScore(pInput.name) - vSol.min) / (vSol.max - vSol.min) * 1);
				pInput.parentNode.className= "assmntResult_" + vRes;
			}
		};
var vLoadRespSession = "";

for (var i=0; i < vForm.length; i++) {
			var vFi = vForm.elements[i];
			if (vFi.name) {
				this.setInteraction(vFi, "enabled");
				vFi.value = vLoadRespSession == null ? "" : scServices.assmntMgr.getResponse(this.fId, vLoadRespSession, vFi.name) || "";
			}
		}
	this.refreshResult("none");

this.setSolution('collapsed', 'collapsed');
scAssmntMgr.setMode(sc$("NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_N_globalExp"), "collapsed");
scAssmntMgr.setMode(sc$("NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_N_score"), "invisible");
scAssmntMgr.setToggleStatus(sc$("NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_S_N6b"), false);
var vRespSession = "";
		if(scServices.assmntMgr.getCompletionStatus(this.fId, vRespSession)=="notAttempt") scServices.assmntMgr.setCompletionStatus(this.fId, vRespSession, "attempt");
		this.setResp = function(pInput) {
			scServices.assmntMgr.setResponse(this.fId, vRespSession, pInput.name, pInput.value);
			this.computeScore();
			scServices.assmntMgr.commit();
			this.refreshResultInput(pInput);
		}

this.computeScore = function() {

this.fMinPts = 0;
			this.fMaxPts = 0;
			for(var vF in this._Sol) if(vF!="_") {this.fMinPts += this._Sol[vF].min; this.fMaxPts += this._Sol[vF].max;}
			this.fScorePts = this.getFieldScore("N4f6")+this.getFieldScore("N502")+this.getFieldScore("N507")+this.getFieldScore("N519")+this.getFieldScore("N51c")+this.getFieldScore("N522")+this.getFieldScore("N528")+this.getFieldScore("N530")+0;

//alert("score:::::"+this.fMinPts+" - "+this.fScorePts+" - "+this.fMaxPts);
var vScoreSession = "";
			if(this.fScorePts != null) scServices.assmntMgr.setPts(this.fId, vScoreSession, this.fMinPts, this.fScorePts, this.fMaxPts);

this.refreshScoresFeedbacks();
		}

if(vRespSession != vLoadRespSession) {for (var i=0; i < vForm.length; i++) {var vFi = vForm.elements[i]; if (vFi.name) scServices.assmntMgr.setResponse(this.fId, vRespSession, vFi.name, vFi.value);}}
this.computeScore();

scServices.assmntMgr.commit();
		break;
	}

}
	}catch(e){alert("failed:::"+e)};
	},
	onActionN93 : function(pButton){
		if(scAssmntMgr.isDisabled(pButton)) return;
var vSess="";
scServices.assmntMgr.resetResponses(this.fId, vSess);
scServices.assmntMgr.setPts(this.fId, vSess, null, null, null); 
this.initSeq("play");

scServices.assmntMgr.commit();
	},
	onActionN6b : function(pButton){
		if(scAssmntMgr.isDisabled(pButton)) return;
		var vIsOn = scAssmntMgr.isToggleOn(pButton);
		if(vIsOn) {
scAssmntMgr.setMode(sc$("NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_N_score"), "invisible");
this.setSolution('collapsed', 'collapsed'); scAssmntMgr.setMode(sc$("NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_N_globalExp"), "collapsed");
var vForm=document.forms.NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_form; for (var i=0; i < vForm.length; i++) {var vFi = vForm.elements[i]; if (vFi.name) this.setInteraction(vFi, "enabled");}this.refreshResult("none");
		} else {
scAssmntMgr.setMode(sc$("NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_N_score"), "visible");
this.setSolution('collapsed', 'visible'); scAssmntMgr.setMode(sc$("NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_N_globalExp"), "visible");
var vForm=document.forms.NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_form; for (var i=0; i < vForm.length; i++) {var vFi = vForm.elements[i]; if (vFi.name) this.setInteraction(vFi, "disabled");}this.refreshResult("addClass");
		}
		scAssmntMgr.setToggleStatus(pButton, ! vIsOn);
		scServices.assmntMgr.commit();
	},

closeSeq: function(){
		var vForm = document.forms.NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_form;
		switch(this.fCurSeq) {

case "play" : {

break;
	}

}
		this.fCurSeq = null;
	},
	getOnLoadSeq:function() {

return "play";
	},

refreshScoresFeedbacks : function(){

var vScoreNode = sc$("NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_SNb2");

},
	setSolution : function(pIfRight, pIfNotBest){
		for(var vF in this._Sol) if(vF != "_") scAssmntMgr.setMode(sc$("NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_X_"+vF), this.getSolIdx(vF)==0 ? pIfRight || "collapsed" : pIfNotBest || "collapsed");
	},
	setInteraction : function(pElt, pMode){
		if(!pElt) return;
		switch(pMode) {
		case "collapsed" :
			pElt.style.display = "none";
			if("scSiLib" in window) scSiLib.fireResizedNode(pElt);
			break;
		case "invisible" :
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]]></script><div id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_A" style="display:none;"><div class="quizBody"><div class="question"><div><div><div class="txt "><p><strong><strong>Voici quatre affirmations. Pour chacune d'entre elles, dire si elle est vraie ou fausse.</strong></strong></p></div></div></div></div><div class="response" aria-live="polite"><form action="javascript:void(0);" name="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_form" id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_form"><p>1. Affirmation 1 : <span class="ico_tim "><img src="res/9ea92c62b49449bfa782eb17b696623d.jpg" width="141" height="60" alt="" /></span></p><p>Cette affirmation est <span class="gap_tl "><span><input name="N4f6" type="text" size="7" onblur="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol.setResp(this);" class="gapInput " /></span><span id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_X_N4f6" class="gapAnswer "><span>fausse</span></span></span>.</p><p>2. On considère la fonction f : x → 5−3x.</p><p>Affirmation 2 : l'image de −1 par f est −2.</p><p>f(-1) = <span class="gap_tl "><span><input name="N502" type="text" size="7" onblur="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol.setResp(this);" class="gapInput " /></span><span id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_X_N502" class="gapAnswer "><span>-8</span></span></span></p><p>Cette affirmation est <span class="gap_tl "><span><input name="N507" type="text" size="7" onblur="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol.setResp(this);" class="gapInput " /></span><span id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_X_N507" class="gapAnswer "><span>fausse</span></span></span>.</p><p>3. On considère deux expériences aléatoires :</p><p>— expérience n° 1 : choisir au hasard un nombre entier compris entre 1 et 11 (1 et 11 inclus).</p><p>— expérience n° 2 : lancer un dé équilibré à six faces numérotées de 1 à 6 et annoncer le nombre qui apparait sur la face du dessus.</p><p>Affirmation 3 : il est plus probable de choisir un nombre premier dans l'expérience n° 1 que d'obtenir un nombre pair dans l’expérience n° 2.</p><p>Dans l'expérience n° 1, la probabilité d'obtenir un nombre premier est : <span class="gap_tl "><span><input name="N519" type="text" size="7" onblur="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol.setResp(this);" class="gapInput " /></span><span id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_X_N519" class="gapAnswer "><span>5</span></span></span>/<span class="gap_tl "><span><input name="N51c" type="text" size="7" onblur="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol.setResp(this);" class="gapInput " /></span><span id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_X_N51c" class="gapAnswer "><span>11</span></span></span> .</p><p>Dans l'expérience n° 2, la probabilité d'obtenir un nombre pair est : <span class="gap_tl "><span><input name="N522" type="text" size="7" onblur="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol.setResp(this);" class="gapInput " /></span><span id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_X_N522" class="gapAnswer "><span>3</span></span></span>/ 6</p><p>Cette affirmation est <span class="gap_tl "><span><input name="N528" type="text" size="7" onblur="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol.setResp(this);" class="gapInput " /></span><span id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_X_N528" class="gapAnswer "><span>fausse.</span></span></span></p><p>4. Affirmation 4 : pour tout nombre x, (2x + 1)² −4 = (2x + 3)(2x − 1).</p><p>Cette affirmation est <span class="gap_tl "><span><input name="N530" type="text" size="7" onblur="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol.setResp(this);" class="gapInput " /></span><span id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_X_N530" class="gapAnswer "><span>vraie</span></span></span>.</p></form></div><div class="globalExp " id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_N_globalExp" aria-live="polite"><div><div><div class="txt "><figure role="group" class="image"><div><a href="res/16f39a949a3245d591fbf54559a94250.jpg" class="adaptedlnk zoom" target="_blank" onclick="scImgMgr.loading(); return false;" title="Cliquez pour agrandir (nouvelle fenêtre)"><img src="res/16f39a949a3245d591fbf54559a94250_1.jpg" class="adapted " width="630" height="346" alt="" /></a></div></figure></div></div></div></div><div class="toolbar"><a role="button" title="Afficher le score et la correction" href="#" onkeydown="scDynUiMgr.handleBtnKeyDwn(event);" onkeyup="scDynUiMgr.handleBtnKeyUp(event);" onclick="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol.onActionN6b(this); return false;" class="btnQuiz correction " id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_S_N6b"><span>Correction</span></a><a role="button" title="Effacer les réponses" href="#" onkeydown="scDynUiMgr.handleBtnKeyDwn(event);" onkeyup="scDynUiMgr.handleBtnKeyUp(event);" onclick="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol.onActionN93(this); return false;" class="btnQuiz reset "><span>Recommencer</span></a><span class="scoreBox"><span class="score " aria-live="polite" id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_N_score"><span id="NOCC5QgRMWiQ9Kqkci4Cx_AwithSol_SNb2"><span /></span></span></span></div></div></div></div></div></div></section></section><div class="references" /><hr class="hidden" /></div><nav id="outline" role="navigation"><ul class="pageOutline"><li><a href="#TS2YIpKVW8ks9NVrbkiQbc" class="section_ti_lo "><span>DNB Asie- 2019</span></a><ul /></li><li><a href="#HSb1bl1lVolhGxaVkstPjg" class="section_ti_lo "><span>DNB Grèce - 2019</span></a><ul /></li><li><a href="#Nzioex0mw5giMJ5Qs7FMg" class="section_ti_lo "><span>DNB Métropole septembre - 2019</span></a><ul /></li><li><a href="#VrKnhtZQmpeBKMfDTgS1ai" class="section_ti_lo "><span>DNB Amérique du Nord - 2019</span></a></li></ul><hr class="hidden" /></nav></main><footer id="footer" role="contentinfo"><span class="footerInfo" /><a class="madeWith " target="_blank" href="https://www.reseau-canope.fr" title="Réalisé avec Canoprof (nouvelle fenêtre)"><span><img alt="Réalisé avec Canoprof (nouvelle fenêtre)" src="skin/img/madewith.png" /></span></a></footer></div>
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DNB Asie- 2019⚓

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DNB Grèce - 2019⚓

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DNB Métropole septembre - 2019⚓

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DNB Asie- 2019 ⚓

DNB Grèce - 2019 ⚓

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DNB Métropole septembre - 2019 ⚓