To find the average rate of change for the diver’s depth, we can use the formula for average rate of change:
\[ \text{Average Rate of Change} = \frac{\text{Change in Depth}}{\text{Change in Time}} \]
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Determine the change in depth:
- The diver starts at a depth of 15 meters and descends to a depth that is 10 meters lower.
- So, the final depth is \( 15 + 10 = 25 \) meters.
- The change in depth is: \[ \text{Change in Depth} = \text{Final Depth} - \text{Initial Depth} = 25 - 15 = 10 \text{ meters} \]
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Determine the change in time:
- The dive took 10.1 seconds.
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Calculate the average rate of change: \[ \text{Average Rate of Change} = \frac{10 \text{ meters}}{10.1 \text{ seconds}} \approx 0.9901 \text{ meters/second} \]
Rounding to the nearest hundredth, this value is approximately \(0.99\) meters/second. Since the diver is descending, we can also express this as negative, so it would be:
- The quotient that describes the average rate of change for the diver’s depth is \(-0.99\) meters/second.
Thus, you should choose the option:
The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.