75fe3ec6-7faf-4258-8da1-4a4efbbd2b3c.html

<p><strong><em>Students will complete the following questions to practice the skills they have learned in this lesson.</em></strong></p>


<!-- Questions 1 - 5 -->
<p>Use the following information to answer questions 1 - 5:</p>
<blockquote>
  The temperature was recorded at several times during the day. Function \(T\) gives the temperature in degrees Fahrenheit, \(n\) hours since midnight. A graph for this function is provided.
</blockquote>
<p><img alt="Temperature Graph" src="https://k12.openstax.org/contents/raise/resources/628c3b7693e07969ceb66d4d1b9c3ed03f8a0fd9" width="300"></p>

<ol class="os-raise-noindent">
  <li>For the interval from \(n = 1\) to \(n = 5\), determine if the average rate of change of the temperature is positive, negative, or zero.</li>
  <p><strong>Answer:</strong> Negative</p>

  <li>For the interval from \(n = 5\) to \(n = 8\), determine if the average rate of change of the temperature is positive, negative, or zero.</li>
  <p><strong>Answer:</strong> Positive</p>

  <li>For the interval from \(n = 10\) to \(n = 20\), determine if the average rate of change of the temperature is positive, negative, or zero.</li>
  <p><strong>Answer:</strong> Positive</p>

  <li>For the interval from \(n = 15\) to \(n = 18\), determine if the average rate of change of the temperature is positive, negative, or zero.</li>
  <p><strong>Answer:</strong> Zero</p>

  <li>For the interval from \(n = 20\) to \(n = 24\), determine if the average rate of change of the temperature is positive, negative, or zero.</li>
  <p><strong>Answer:</strong> Negative</p>
</ol>

<!-- Questions 6 - 7 -->
<p>The graph below shows the total distance, in feet, walked by a person as a function of time, in seconds. Use this information to answer questions 6 - 7.</p>
<p><img alt="Distance Graph" src="https://k12.openstax.org/contents/raise/resources/dbec756aaee450163ee36c17b0b92acc17a32b69"></p>

<ol class="os-raise-noindent" start="6">
  <li>Given the graph of total distance walked as a function of time, was the person walking faster between 20 and 40 seconds or between 80 and 100 seconds?</li>
  <p><strong>Answer:</strong> Between 80 and 100 seconds</p>

  <li>Was the person walking faster between 0 and 40 seconds or between 40 and 100 seconds, based on the given graph?</li>
  <p><strong>Answer:</strong> Between 0 and 40 seconds</p>
</ol>

<!-- Questions 8 - 11 -->
<p>Use the following information to answer questions 8 - 11:</p>
<blockquote>
  The height, in feet, of a squirrel running up and down a tree is a function of time, in seconds.
</blockquote>
<p>Match each description with a statement about the average rate of change of the function for that interval.</p>

<ol class="os-raise-noindent" start="8">
  <li>The squirrel runs up the tree very fast. The average rate of change is -</li>
  <p><strong>Answer:</strong> Large and positive.</p>

  <li>The squirrel starts and ends at the same height. The average rate of change is -</li>
  <p><strong>Answer:</strong> Zero.</p>

  <li>The squirrel runs down the tree. The average rate of change is -</li>
  <p><strong>Answer:</strong> Negative.</p>

  <li>The squirrel runs up the tree slowly. The average rate of change is -</li>
  <p><strong>Answer:</strong> Small and positive.</p>
</ol>


<ol class="os-raise-noindent" start="12">
  <li>The percentage of voters ages 18 to 29 who participated in each United States presidential election between the years 1988 and 2016 is shown in the table.</li>
</ol>
<table class="os-raise-horizontaltable">
  <thead></thead>
  <tbody>
    <tr>
      <th scope="row">
        year
      </th>
      <td>
        1988
      </td>
      <td>
        1992
      </td>
      <td>
        1996
      </td>
      <td>
        2000
      </td>
      <td>
        2004
      </td>
      <td>
        2008
      </td>
      <td>
        2012
      </td>
      <td>
        2016
      </td>
    </tr>
    <tr>
      <th scope="row">
        percentage of voters ages 18&ndash;29
      </th>
      <td>
        35.7
      </td>
      <td>
        42.7
      </td>
      <td>
        33.1
      </td>
      <td>
        34.5
      </td>
      <td>
        45.0
      </td>
      <td>
        48.4
      </td>
      <td>
        40.9
      </td>
      <td>
        43.4
      </td>
    </tr>
  </tbody>
</table>
<br>
<p>The function \(P\) gives the percent of voters ages 18 to 29 years old who participated in the election in year \(t\).</p>
<p>Determine the average rate of change for \(P\) between 1992 and 2000.</p>
<p> <strong>Answer: </strong>&ndash;1.025 percent of voters per year </p>
<ol class="os-raise-noindent" start="13">
  <li>Some points from a linear function, \(f(x)\), are listed in the table below. What is the rate of change of this linear function?</li>
</ol>
<table class="os-raise-horizontaltable">
  <thead></thead>
  <tbody>
    <tr>
      <th scope="row">
        \(x\)
      </th>
      <td>
        0
      </td>
      <td>
        5
      </td>
      <td>
        10
      </td>
      <td>
        15
      </td>
    </tr>
    <tr>
      <th scope="row">
        \(f(x)\)
      </th>
      <td>
        4
      </td>
      <td>
        6
      </td>
      <td>
        8
      </td>
      <td>
        10
      </td>
    </tr>
  </tbody>
</table>
<br>
<p><strong>Answer:</strong> \(\frac25\)</p>
<ol class="os-raise-noindent" start="14">
  <li>Find the rate of change of the function, \(g(x)\), graphed below. <br><img alt="GRAPH OF A LINE THAT PASSES THROUGH THE POINTS (0, 2) AND (1, &minus;1)." class="img-fluid atto_image_button_text-bottom" height="304" src="https://k12.openstax.org/contents/raise/resources/eeb492073a46c47fa8ff97bc8dcae77a0740168a" width="300"></li>
</ol>
<p> <strong>Answer:</strong>&nbsp;&ndash;3</p>
<ol class="os-raise-noindent" start="15">
  <li>What is the rate of change of the function \(h(x)= 4x -7\)? Enter your answer as an integer value.
    <br><strong>Answer: </strong>4</li>
</ol>