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 to make that change.
The change in position is the difference between the altitude it reached above the water (3.5 meters) and the depth it dove below the surface (10 meters). So the change in position is 3.5 - (-10) = 13.5 meters.
The time it took to make that change in position is 12.5 seconds.
So the average rate of change in the dolphin's position is 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. (1 point)
1 answer