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 negative 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 0.52 meters/second.
The quotient that describes the average rate of change in the dolphin's position is negative 0.52 meters/second.
To find the average rate of change in the dolphin's position, we need to divide the total change in position by the time it took for that change to occur. In this case, the dolphin went from a height of 3.5 meters above the water to a depth of 10 meters below the water. The total change in position is 3.5 + 10 = 13.5 meters.
The time it took for this change to occur is given as 12.5 seconds.
To find the average rate of change, we divide the total change in position by the time taken:
Rate of change = Total change in position / Time taken
Rate of change = 13.5 meters / 12.5 seconds
Calculating this quotient, we find that the average rate of change in the dolphin's position is approximately 1.08 meters/second.
So, the correct response is:
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.
To calculate the average rate of change in the dolphin's position, we need to determine the change in position (in meters) and the time interval (in seconds).
The change in position is the sum of the dolphin's altitude above the surface and its depth below the surface, which is 3.5 meters + 10 meters = 13.5 meters.
The time interval is given as 12.5 seconds.
To find the average rate of change, divide the change in position by the time interval: 13.5 meters / 12.5 seconds = 1.08 meters/second.
Therefore, the correct answer is:
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.