9af50897-7dd9-45b5-91d9-ffe115364957.html

<h4>Cool Down Activity</h4>
<p>To prepare for a backyard party, a parent uses two identical hoses to fill a small pool that is 15 inches deep and a large pool that is 27 inches deep.</p>
<p>The height of the water in each pool is a function of time since the water is turned on.</p>
<p><img alt="Two pools." src="https://k12.openstax.org/contents/raise/resources/c466027622a96eb3bdb0f8fbbcb0c9a69dba861e" width="350"></p>
<p>Here are descriptions of three situations. For each situation, sketch the graphs of the two functions on the same coordinate plane, so that <em>S(t)</em> is the height of the water in the small pool after <em>t</em> minutes, and <em>L(t)</em> is the height of the water in the large pool after <em>t</em> minutes.</p>
<p>In both functions, the height of the water is measured in inches.</p>
<br>
<ol class="os-raise-noindent" start="1">
  <li>Situation 1: Each hose fills one pool at a constant rate. When the small pool is full, the water for that hose is shut off. The other hose keeps filling the larger pool until it is full.</li>
</ol>
<br>
<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">
    <p>Sketch your interpretation of the graph of situation 1.</p>
  </div>
  <div class="os-raise-ib-cta-prompt">
    <p>When you have finished graphing, 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:</p>
  <p><img alt="Two functions. time in minutes and height in inches." src="https://k12.openstax.org/contents/raise/resources/3e7729067f9c62178fe62f7014cdf7f4166a434b"></p>
</div>
<br>
<br>
<ol class="os-raise-noindent" start="2">
  <li>Situation 2: Each hose fills one pool at a constant rate. When the small pool is full, both hoses are shut off.</li>
</ol>
<br>
<br>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal2" data-schema-version="1.0">
  <div class="os-raise-ib-cta-content">
    <p>Sketch your interpretation of the graph of situation 2.</p>
  </div>
  <div class="os-raise-ib-cta-prompt">
    <p>When you have finished graphing, 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="Reveal2">
  <p>Compare your answer:</p>
  <p><img alt="Two functions. time in minutes and height in inches." src="https://k12.openstax.org/contents/raise/resources/1c13b7c6a6e770635fbef0daca73a06e5aef3175"></p>
</div>
<br>
<br>
<ol class="os-raise-noindent" start="3" type="1">
  <li>Situation 3: Each hose fills one pool at a constant rate. When the small pool is full, both hoses are used to fill the large pool until it is full.</li>
</ol>
<br>
<br>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal3" data-schema-version="1.0">
  <div class="os-raise-ib-cta-content">
    <p>Sketch your interpretation of the graph of situation 3.</p>
  </div>
  <div class="os-raise-ib-cta-prompt">
    <p>When you have finished graphing, 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="Reveal3">
  <p>Compare your answer:</p>
  <p><img alt="Two functions. time in minutes and height in inches." src="https://k12.openstax.org/contents/raise/resources/8d57cf654267a72099f939d04b6907d86d948b88"></p>
</div>