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 negative 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 negative 3.47 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.

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 negative 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 negative 3.47 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.

Answer 1

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

Answer 2

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

Answer 3

To interpret the quotient and describe the rate of change in the diver's depth, we need to calculate the average rate of change using the given information.

Average rate of change is typically calculated by dividing the change in the dependent variable by the change in the independent variable. In this case, the change in the diver's depth is 10 meters (she descended 10 meters lower), and the change in time is 10.1 seconds.

We can calculate the average rate of change formula as follows:

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

Average rate of change = -10 meters / 10.1 seconds

Using a calculator, 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."