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 -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 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 correct response is: The quotient that describes the rate of change in the dolphin’s position is -0.52 meters/second.
To find the average rate of change in the dolphin's position, we need to divide the change in position by the change in time.
The change in position is the difference between the dolphin's highest point above the water (3.5 meters) and its lowest depth below the water (-10 meters), which is 3.5 + (-10) = -6.5 meters.
The change in time is given as 12.5 seconds.
Dividing the change in position (-6.5 meters) by the change in time (12.5 seconds), we get -6.5 / 12.5 = -0.52 meters/second.
Therefore, the quotient that describes the average rate of change in the dolphin's position is -0.52 meters/second.