92ccfb8c-2c63-475b-bd46-c27bc5436301.html

<p><strong><em>Students will complete the following questions to practice the skills they have learned in this lesson.</em></strong></p>
<p>For questions 1&ndash;4, use the following:</p>
<p>Function \(h\)&nbsp;describes the height of a ball, in inches, after \(n\)<em> </em>bounces and is defined by the equation \(h(n)=120 \cdot (\frac{4}{5})^n\).</p>
<ol class="os-raise-noindent">
  <li>
    What is \(h(3)\)? Round to the nearest integer. Think about what it represents in this situation.</li>
</ol>
<p>
  <strong>Answer:</strong> 61
</p>
<ol class="os-raise-noindent" start="2">
  <li>
    Could \(h(n)\) be 150?&nbsp;
  </li>
</ol>
<p>
  <strong>Answer: </strong>No
</p>
<ol class="os-raise-noindent" start="3">
  <li>
    Which ball loses its height more quickly: This ball, modeled by \(h(n)=120 \cdot (\frac{4}{5})^n\), or a tennis ball whose height in inches after \(n\) bounces is modeled by the function \(f\) where \(f(n)=50 \cdot (\frac{5}{9})^n\)?</li>
</ol>
<p>
  <strong>Answer:</strong>&nbsp;The ball modeled by \(f(n)\)
</p>
<ol class="os-raise-noindent" start="4">
  <li>
    How many bounces would it take before the ball bounces less than 12 inches from the surface? </li>
</ol>
<p>
  <strong>Answer:</strong> 11

</p>
<ol class="os-raise-noindent" start="5">
  <li>
    After a second bounce, a ball reached a height of 70 cm. The rebound factor for the ball was 0.8. From approximately what height, in cm, was the ball dropped?  </li>
  </ol>
    <ul>
      <li>
        560
      </li>
      <li>
        56
      </li>
      <li>
        21
      </li>
      <li>
        88

      </li>
    </ul>

<p>
  <strong>Answer: </strong>d. 88

</p>
<ol class="os-raise-noindent" start="6">
  <li>Using the table below, find the height, in cm, from which the ball was dropped.

    <table class="os-raise-horizontaltable">
      <thead></thead>
      <tbody>
        <tr>
          <th scope="row">
    Number of Bounces</th>
          <td>
           1
          </td>
          <td>
           2
          </td>
          <td>
            3
          </td>
          <td>
          4
          </td>
        </tr>
        <tr>
            <th scope="row">Height in cm</th>
          <td>
           90
          </td>
          <td>
           54
          </td>
          <td>
            32
          </td>
          <td>
            19
          </td>
        </tr>
      </tbody>
    </table>
  </li>
</ol>
<p>
  <strong>Answer:</strong> 150
</p>