Michelle is scuba diving. Her position changes from [tex] -2.1 \, \text{m} [/tex] to [tex] -38.6 \, \text{m} [/tex] in [tex] 6 \frac{1}{4} [/tex] minutes. What is the average change in Michelle’s position each minute?

To find the average change in Michelle's position each minute, we need to calculate the total change in her position and divide it by the total time elapsed.

The initial position is -2.1 m and the final position is -38.6 m, resulting in a total change of: Total change = Final position - Initial position = -38.6 m - (-2.1 m) = -38.6 m + 2.1 m = -36.5 m. The time elapsed is 6 1/4 minutes, which can be expressed as a mixed fraction or an improper fraction: Time elapsed = 6 1/4 minutes = 25/4 minutes. Now, we can calculate the average change in position per minute: Average change per minute = Total change / Time elapsed= (-36.5 m) / (25/4 min) = (-36.5 m) * (4/25 min) ≈ -5.84 m.

Therefore, the average change in Michelle's position each minute is approximately -5.84 meters.

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