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A scuba diver was at a depth of 15 meters below the surface when she saw something interesting about 10 meters lower. She made...Asked by Wither
A scuba diver was at a depth of 15 meters below the surface when she saw something interesting about 10 meters lower. She made the descent in 10.1 seconds. Interpret the quotient to describe the rate of change in the diver’s depth. Give your answer to the nearest hundredth.(1 point)
Responses
The quotient that describes the average rate of change for the diver’s depth is −0.49 meters/second.
The quotient that describes the average rate of change for the diver’s depth is negative 0.49 meters/second.
The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is negative 0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is −3.47 meters/second.
Responses
The quotient that describes the average rate of change for the diver’s depth is −0.49 meters/second.
The quotient that describes the average rate of change for the diver’s depth is negative 0.49 meters/second.
The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is negative 0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is −3.47 meters/second.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the average rate of change for the diver’s depth, we can use the formula for average rate of change:
\[
\text{Average Rate of Change} = \frac{\text{Change in Depth}}{\text{Change in Time}}
\]
1. **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:
\[
\text{Change in Depth} = \text{Final Depth} - \text{Initial Depth} = 25 - 15 = 10 \text{ meters}
\]
2. **Determine the change in time**:
- The dive took 10.1 seconds.
3. **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.**
\[
\text{Average Rate of Change} = \frac{\text{Change in Depth}}{\text{Change in Time}}
\]
1. **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:
\[
\text{Change in Depth} = \text{Final Depth} - \text{Initial Depth} = 25 - 15 = 10 \text{ meters}
\]
2. **Determine the change in time**:
- The dive took 10.1 seconds.
3. **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.**
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