2. 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 -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.
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 -0.52 meters/second.
To calculate the average rate of change in the dolphin's position, we need to determine the change in position (in meters) divided by the change in time (in seconds).
The change in position is the sum of the altitude above the water (3.5 meters) and the depth below the surface (10 meters), which gives us a total change in position of 13.5 meters (3.5 + 10).
The change in time is provided as 12.5 seconds.
Therefore, the average rate of change in the dolphin's position is 13.5 meters divided by 12.5 seconds, which is equal to 1.08 meters/second.
So, the correct answer is:
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.