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
one of theses will be the answer
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 answer 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 highest point above the water (3.5 meters) and the lowest depth below the water (-10 meters), which is 3.5 + (-10) = -6.5 meters.
The change in time is 12.5 seconds.
Now, we can calculate the average rate of change by dividing the change in position by the change in time:
Average rate of change = (-6.5 meters) / (12.5 seconds) ≈ -0.52 meters/second.
So, the quotient that describes the average rate of change in the dolphin's position is -0.52 meters/second.