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 negative 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 negative 0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.
The correct response is:
The quotient that describes the rate of change in the dolphin’s position is -0.28 meters/second.
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 taken.
The dolphin's position changed from 3.5 meters above the surface to 10 meters below the surface, resulting in a total change of 3.5 + 10 = 13.5 meters.
The total time taken was 12.5 seconds.
Now, we can calculate the average rate of change by dividing the change in position (13.5 meters) by the time taken (12.5 seconds).
13.5 meters / 12.5 seconds = 1.08 meters/second.
Therefore, the correct interpretation is:
"The quotient that describes the rate of change in the dolphin's position is 1.08 meters/second."