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.

To find the rate of change in the diver's depth, we divide the change in depth by the time it took to make that change. The change in depth is 10 meters (because the diver saw something interesting 10 meters lower) and the time it took is 10.1 seconds.

Therefore, the rate of change in the diver's depth is $10/10.1 \approx \boxed{0.99}$ meters per second.

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.

A. The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second.

B. The quotient that describes the average rate of change for the diver’s depth is −0.49 meters/second.

C. The quotient that describes the average rate of change for the diver’s depth is −3.47 meters/second.

D. The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.

To find the rate of change in the diver's depth, we divide the change in depth by the time it took to make that change. The change in depth is 10 meters (because the diver saw something interesting 10 meters lower) and the time it took is 10.1 seconds.

Therefore, the rate of change in the diver's depth is $10/10.1 \approx \boxed{\textbf{(A)}\ 0.99}$ meters per second.

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.

Responses
A. The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second.

B. The quotient that describes the average rate of change for the diver’s depth is −0.49 meters/second.

C. The quotient that describes the average rate of change for the diver’s depth is −3.47 meters/second.

D. The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.

a

To find the rate of change in the diver's depth, we need to calculate the quotient of the change in depth and the time taken.

Change in depth = 10 meters
Time taken = 10.1 seconds

Rate of change in depth = Change in depth / Time taken
Rate of change in depth = 10 meters / 10.1 seconds

To find the answer to the nearest hundredth, we divide 10 meters by 10.1 seconds:

Rate of change in depth = 0.99 meters per second

Therefore, the rate of change in the diver's depth is approximately 0.99 meters per second.

To interpret the quotient that describes the rate of change in the diver's depth, we need to calculate the average rate of descent.

Average rate of change = (Change in depth) / (Change in time)

In this case, the change in depth is 10 meters since the diver saw something interesting 10 meters lower, and the change in time is 10.1 seconds, as stated in the question.

Average rate of change = 10 meters / 10.1 seconds

Now we can calculate the quotient by dividing 10 meters by 10.1 seconds:

Average rate of change ≈ 0.99 meters per second

Therefore, the average rate of change in the diver's depth is approximately 0.99 meters per second.