625a4621-d076-4f9c-a310-ca3432199522.html

<h4>Write the Function Rule from a Table</h4>
<p>Kelly can tune 6 cars in 3 hours. The table below is completed to show this relationship. The last column has the output for any \(x\). This is the rule of the function.</p>
<table class="os-raise-horizontaltable">
  <thead></thead>
	<tbody>
    <tr>
      <th scope="row">
       Time spent tuning cars (\(x\))
      </th>
      <td>
      2
      </td>
      <td>
      3
      </td>
      <td>
        6
      </td>
      <td>
       7
      </td>
      <td>
        \(x\)
      </td>
    </tr>
    <tr>
      <th scope="row">
      Number of cars tuned up (\(y\))
		  
      </th>
      <td>
        4
      </td>
      <td>
       6
      </td>
      <td>
       12
      </td>
      <td>
       14
      </td>
      <td>
        \(2x\)
      </td>
    </tr>
  </tbody>
</table>
<br>
<p>Kelly can tune 6 cars in 3 hours or 2 cars in 1 hour, so the function rule is \(f(x)=2x\).</p>
<h4>Try It: Write the Function Rule from a Table</h4>
<p>Determine the rule in function notation for the table below:</p>
<table class="os-raise-horizontaltable">
<thead></thead>
  <tbody>
    <tr>
      <th scope="row">
       \(x\) (input)
      </th>
      <td>
      1
      </td>
      <td>
       2
      </td>
      <td>
       3
      </td>
      <td>
        4
      </td>
      <td>
       \(x\)
      </td>
    </tr>
    <tr>
      <th scope="row">
        \(y\) (output)
      </th>
      <td>
       5
      </td>
      <td>
        8
      </td>
      <td>
        11
      </td>
      <td>
       14
      </td>
      <td>
       ?
      </td>
    </tr>
  </tbody>
</table>
<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">
  </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 answers:</p>
  <p>Here is how to find the rule in function notation:</p>
  <p>In the table, every \(x\) is multiplied by 3, and then 2 is added. The rule is:</p>
  <p>\(f(x) = 3x + 2\)</p>
  <br>
</div>