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 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 negative 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.
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To find the average rate of change in the dolphin's position, we need to divide the total change in position by the time taken.
The total change in position is the sum of the altitude above the water (3.5 meters) and the depth below the water (-10 meters), which is -6.5 meters (since diving below the water is considered a negative change in position).
The time taken is given as 12.5 seconds.
Therefore, the average rate of change in the dolphin's position is -6.5 meters / 12.5 seconds.
To find the answer to the nearest hundredth, we divide -6.5 by 12.5 and round to the nearest hundredth.
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 (from highest point above the water to lowest depth) by the time it took to make that change.
In this case, the change in position is 3.5 meters (highest point above the water) + 10 meters (lowest depth) = 13.5 meters. The time taken is 12.5 seconds.
Therefore, the average rate of change in the dolphin's position is 13.5 meters / 12.5 seconds = 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.