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 0.99 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 −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 −3.47 meters/second.

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 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 −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 −3.47 meters/second.

Answer 1

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

To interpret the quotient that describes the rate of change in the diver's depth, we need to find the average rate of change by dividing the change in depth by the time taken.

The diver descended from a depth of 15 meters to a depth of 10 meters (10 meters lower) in 10.1 seconds.

Change in depth = Initial depth - Final depth
Change in depth = 15 meters - 10 meters
Change in depth = 5 meters

Average rate of change = Change in depth / Time taken
Average rate of change = 5 meters / 10.1 seconds
Average rate of change ≈ 0.495 meters/second

Rounding to the nearest hundredth, the quotient that describes the average rate of change for the diver's depth is approximately 0.49 meters/second.

Therefore, the correct response is "The quotient that describes the average rate of change for the diver’s depth is 0.49 meters/second."

Answer 3

To interpret the quotient that describes the rate of change in the diver's depth, we need to calculate the average velocity. Average velocity is determined by dividing the change in position (or depth) by the time it takes for the change to occur.

Given that the scuba diver descended 10 meters in 10.1 seconds, we can calculate the average velocity as follows:

Average velocity = Change in position / Time taken

Change in position = 10 meters
Time taken = 10.1 seconds

Plugging in the values:

Average velocity = 10 meters / 10.1 seconds

Using a calculator, the result is approximately 0.99 meters/second.

Therefore, the correct response is: The quotient that describes the average rate of change for the diver's depth is 0.99 meters/second.