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 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 0.52 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 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 0.52 meters/second.

Answer 1

The correct interpretation of the quotient to describe the average rate of change in the dolphin's position 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 divide the change in position by the change in time.

The change in position is the difference between the altitude reached above the water (3.5 meters) and the depth reached below the water (10 meters), which is 3.5 meters - 10 meters = -6.5 meters (since the dolphin went down).

The change in time is 12.5 seconds.

So the average rate of change in the dolphin's position is -6.5 meters / 12.5 seconds.

Rounding to the nearest hundredth, the quotient is -0.52 meters/second.

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

Answer 3

To find the average rate of change in the dolphin's position, we need to calculate the change in position (vertical distance) divided by the time it took.

The dolphin went from a height of 3.5 meters above the surface to a depth of 10 meters below the surface. So the change in position is 3.5 meters + 10 meters = 13.5 meters (taking the positive direction as above the surface).

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

Now, we can calculate the average rate of change by dividing the change in position by the time:

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.