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 negative 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 negative 1.08 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 0.52 meters/second. The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.

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 negative 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 negative 1.08 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 0.52 meters/second. The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.

Answer 1

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

Answer 2

To find the average rate of change in the dolphin's position, we can use the formula:

Average Rate of Change = Total Change in Position / Total Time

The total change in position is the difference between the highest point above the water (3.5 meters) and the lowest depth below the surface (10 meters), which is 3.5 meters + 10 meters = 13.5 meters.

The total time is given as 12.5 seconds.

Therefore, the average rate of change in the dolphin's position is:

13.5 meters / 12.5 seconds ≈ 1.08 meters/second

So, the correct response is: The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.

Answer 3

To find the average rate of change in the dolphin's position, we need to divide the change in position by the time it took.

The dolphin went from an altitude of 3.5 meters above the water to a depth of 10 meters below the water. The total change in position is the sum of these distances, which is 13.5 meters (3.5 + 10).

The time it took for this change is given as 12.5 seconds.

To find the average rate of change, we divide the change in position (13.5 meters) by the time (12.5 seconds):

Average rate of change = change in position / time
= 13.5 meters / 12.5 seconds
= 1.08 meters/second

Therefore, the correct answer is "The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second."