7a2e1267-0d52-4f7f-ae82-1b7aeddcb7fe.html

<h4>Cool Down Activity</h4>
<p>A movie theater models the revenue from ticket sales in one day as a function of the ticket price, \(p\). Here are two expressions defining the same revenue function.</p>
<p>\(p(120 &minus; 4p)\)</p>
<p>\(120p &minus; 4p^2\)</p>
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<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="37fad804-1214-4946-8e79-763e4b24cb32" data-fire-event="eventShow" data-schema-version="1.0">
  <div class="os-raise-ib-input-content">
    <ol class="os-raise-noindent">
      <li>According to this model, how high would the ticket price have to be for the theater to make $0 in revenue? Be prepared to show your reasoning.</li>
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    <p>Enter the ticket price and your reasoning.</p>
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  <div class="os-raise-ib-input-ack">
    <p>Compare your answer:</p>
    <p>$30. If \(p(120 &minus; 4p) = 0\), then either \(p = 0\) or \(120 &minus; 4p = 0\). If the latter is a true equation, \(p\) must be 30.</p>
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<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="5f55e891-e9c6-4a90-9f53-901f5e65454d" data-fire-event="eventShow" data-schema-version="1.0">
  <div class="os-raise-ib-input-content">
    <ol class="os-raise-noindent" start="2">
      <li>What equation can you write to find out what ticket price(s) would allow the theater to make $600 in revenue?</li>
    </ol>
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  <div class="os-raise-ib-input-prompt">
    <p>Enter an equation.</p>
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  <div class="os-raise-ib-input-ack">
    <p>Compare your answer:</p>
    <p>\(p(120&minus;4p) = 600\) or \(120p &minus; 4p^2 = 600\)</p>
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