783555e9-f70c-4467-bed9-2ebc486454b6.html

<p>Using a calculator, Joanna made the following table and then made the following conjecture: \(3x\) is always greater than \((1.02)^x\). Is Joanna correct? Explain.</p>
<table class="os-raise-wideequaltable">
  <thead>
    <tr>
      <th scope="col">
        \(x\)
      </th>
      <th scope="col">
        \((1.02)^x\)
      </th>
      <th scope="col">
        \(3x\)
      </th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <td>
        1
      </td>
      <td>
        1.02
      </td>
      <td>
        3
      </td>
    </tr>
    <tr>
      <td>
        2
      </td>
      <td>
        1.0404
      </td>
      <td>
        6
      </td>
    </tr>
    <tr>
      <td>
        3
      </td>
      <td>
        1.0612
      </td>
      <td>
        9
      </td>
    </tr>
    <tr>
      <td>
        4
      </td>
      <td>
        1.0824
      </td>
      <td>
        12
      </td>
    </tr>
    <tr>
      <td>
        5
      </td>
      <td>
        1.1041
      </td>
      <td>
        15
      </td>
    </tr>
  </tbody>
</table>
<br>