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 −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 describ
es 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.
To find the average rate of change in the dolphin's position, we need to calculate the difference in its altitude and depth and divide it by the time it took for the change to occur.
The difference in altitude and depth is 3.5 meters (highest point above the water) + 10 meters (lowest depth) = 13.5 meters.
The time it took for the change to occur 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.
Since we are asked to round to the nearest hundredth, the answer would be 1.08 meters/second.