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Michelle is scuba diving. Her position changes from -2.1 m to -38.6 m in \(6 \frac{1}{4}\) minutes. What is the average change in Michelle's position each minute?

Answer :

The average change in Michelle's position each minute is -5.84 m/min.

To calculate the average change in Michelle's position each minute, we can use the following formula:

average change in position = (change in position) / (time)

We know that Michelle's position changes from -2.1m to -38.6m, so the change in position is -38.6m - (-2.1m) = -36.5m.

We also know that the time is 6 1/4 min, which is equivalent to 6.25 min.

Therefore, the average change in Michelle's position each minute is:

average change in position = (-36.5m) / (6.25 min) = -5.84 m/min

Therefore, the average change in Michelle's position each minute is -5.84 m/min.

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Rewritten by : Barada

Answer: 5.824 m / min

Step-by-step explanation:

Change in position = -2.1m to -38.6m

Distance = |-38.6 m - (-2.1m) |

=|-36.5| m

= 36.5 m

Time = [tex]6\dfrac14\ min=\dfrac{6\times4+1}{4}\ min[/tex]

[tex]=\dfrac{25}{4}\ min[/tex]

The average change in Michelle's position each minute = [tex]\dfrac{36.5}{\dfrac{25}{4}}\text{ m/min}[/tex]

[tex]=\dfrac{36.4\times4}{25}\text{ m/min}\\\\= 5.824\text{ m/min}[/tex]

Hence, the average change in Michelle's position each minute = 5.824 m / min