Question
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 −3.47 meters/second.
The quotient that describes the average rate of change for the diver’s depth is negative 3.47 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 −0.49 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 negative 0.99 meters/second.
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The correct response is: The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.
To find the average rate of change for the diver's depth, we need to divide the change in depth by the time taken.
The change in depth is 10 meters lower than the initial depth of 15 meters, which is a total change of -10 meters.
The time taken is 10.1 seconds.
Now, we can calculate the average rate of change:
Average rate of change = change in depth / time taken
Average rate of change = -10 meters / 10.1 seconds
Calculating this, we get:
Average rate of change ≈ -0.99 meters/second
Therefore, the correct answer is:
The quotient that describes the average rate of change for the diver's depth is -0.99 meters/second.