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.

Question

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 −0.99 meters/second.

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 0.99 meters/second.

please explain how you got the answer

Answer 1

To calculate the average rate of change in the diver's depth, we can divide the change in depth by the time taken:

Change in depth = 10 meters (she descended 10 meters lower)
Time taken = 10.1 seconds

Average rate of change = Change in depth / Time taken

Therefore, the average rate of change in the diver's depth is 10 meters / 10.1 seconds.

Calculating this value, we get approximately 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.

Answer 2

please explain how you got the answer

Answer 3

My apologies for not explaining in detail. To find the average rate of change in the diver's depth, we need to divide the change in depth by the time taken.

Given:
Change in depth = 10 meters
Time taken = 10.1 seconds

Average rate of change = Change in depth / Time taken

Plugging in the values, we have:
Average rate of change = 10 meters / 10.1 seconds

Dividing 10 meters by 10.1 seconds using a calculator, we get approximately 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.