The average rate of change in the dolphin's position can be represented by the quotient of the change in position over the change in time.
The change in position is the difference between the highest point and the lowest point, which is 3.5 meters above the surface and 10 meters below the surface, respectively. This gives us a change in position of 3.5 + 10 = 13.5 meters.
The change in time is given as 12.5 seconds.
The quotient of the change in position over the change in time is then 13.5 meters / 12.5 seconds = 1.08 meters/second.
Therefore, the average rate of change in the dolphin's position is approximately 1.08 meters/second.
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
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