Question

A dolphin jumped above the surface of the water. It reached an altitude of 3.5 meters above the surface of the water and then dove 10 meters below the surface of the water. It went from its highest point above the water to its lowest depth in 12.5 seconds. Interpret the quotient to describe the average rate of change in the dolphin’s position. Give your answer to the nearest hundredth.(1 point) Responses The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second. The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second. The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second. The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second. The quotient that describes the rate of change in the dolphin’s position is −1.08 meters/second. The quotient that describes the rate of change in the dolphin’s position is negative 1.08 meters/second. The quotient that describes the rate of change in the dolphin’s position is −0.52 meters/second.

Answer 1

The correct interpretation is:
The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second.

Answer 2

are u sure

Answer 3

I apologize for the confusion. Let's calculate the average rate of change in the dolphin's position.

The dolphin went from 3.5 meters above the surface to 10 meters below the surface in 12.5 seconds.

To calculate the average rate of change, we can use the formula:

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

Change in position = 10 + 3.5 = 13.5 meters (the total change in distance from the highest point above the water to the lowest depth)

Change in time = 12.5 seconds

Average rate of change = 13.5 meters / 12.5 seconds ≈ 1.08 meters/second.

So the correct interpretation is:

The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.