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. 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 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 -1.08 meters/second.

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

4 answers

To determine the average rate of change in the dolphin's position, we need to calculate the change in position (how far it traveled) divided by the time it took.

The change in position is the sum of the highest point (3.5 meters) and the lowest depth (-10 meters), which is -6.5 meters.

The time it took for this change in position is 12.5 seconds.

To calculate the average rate of change, we divide the change in position (-6.5 meters) by the time (12.5 seconds):

Average rate of change = -6.5 meters / 12.5 seconds

≈ -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.
r u sure
I apologize for any confusion. Let's double-check the calculation:

The change in position is the sum of the highest point (3.5 meters) and the lowest depth (-10 meters), which is -6.5 meters.

The time it took for this change in position is 12.5 seconds.

To calculate the average rate of change, we divide the change in position (-6.5 meters) by the time (12.5 seconds):

Average rate of change = -6.5 meters / 12.5 seconds

≈ -0.52 meters/second

Based on this calculation, the average rate of change in the dolphin's position is indeed approximately -0.52 meters/second.
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