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<h4>Cool Down Activity</h4>
<p>This graph represents the revenue in dollars that a company expects if they sell their product for \(p\) dollars.</p>
<p><img alt='Graph of non linear function." height="196' height="262" src="https://k12.openstax.org/contents/raise/resources/4b5d552eb1fbfb0822e47b7883a920ba6c68d147" width="324"></p>
<br>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="8efd83fe-81bb-417a-aabd-292a654b0496" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<!--Q#-->
<div class="os-raise-ib-pset-problem" data-content-id="7df5f3e7-792b-4438-a54b-e9a7d2660cd7" data-problem-type="dropdown" data-solution="$5" data-solution-options='["$5", "$17"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<li>Based on this model, which price would generate more revenue for the company, \($5\) or \($17\)?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \($5\), as it would generate about \($3,700\) in revenue. Charging \($17\) would bring in about \($2,500\). </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Incorrect. The correct answer is \($5\), as it would generate about \($3,700\) in revenue. Charging \($17\) would bring in about \($2,500\).</p>
</div>
</div>
<!--END QUESTION.-->
<!--Do not edit below line.-->
<div class="os-raise-ib-pset-correct-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
<div class="os-raise-ib-pset-encourage-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>
<br>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="6ca682c7-a250-4edd-9f11-06a3c1e66d26" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<!--Q1a-->
<div class="os-raise-ib-pset-problem" data-content-id="91a80edb-e118-490e-9da1-3a90f3dac2be" data-problem-comparator="integer" data-problem-type="input" data-solution="10">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2">
<li>At what price (in dollars) should the company sell their product if they wish to make as much revenue as possible?</li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Based on the graph, a price of \($10\) would bring in the most revenue.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(10\). Based on the graph, a price of \($10\) would bring in the most revenue.</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q1b-->
<div class="os-raise-ib-pset-problem" data-content-id="dd50d498-c21d-414b-ad51-cdebc7560f33" data-problem-comparator="integer" data-problem-type="input" data-solution="5000">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>How much revenue (in dollars) would they make?</li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Based on the graph, a price of \($10\) would bring in about \($5,000\).</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \($5,000\). Based on the graph, a price of \($10\) would bring in about \($5,000\).</p>
</div>
</div>
<!--END QUESTION.-->
<!--Do not edit below line.-->
<div class="os-raise-ib-pset-correct-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
<div class="os-raise-ib-pset-encourage-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>
<br>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal1" data-schema-version="1.0">
<div class="os-raise-ib-cta-content">
<ol class="os-raise-noindent" start="4">
<li>What is an appropriate domain for the function? Explain how you know.</li>
</ol>
</div>
<div class="os-raise-ib-cta-prompt">
<p>Write down your answer, then select the <strong>solution</strong> button to compare your work. </p>
</div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal1">
<p>Compare your answer: Your answer may vary, but here is a sample.</p>
<p>\(0 \leq p \leq 20\), because the price has to be non-negative, and the company would earn negative revenue if the price were more than \($20\).</p>
</div>