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 negative 1.08 meters/second. The quotient that describes the rate of change in the dolphin’s position is −0.52 meters/second.
The correct interpretation is:
The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second.
are u sure
I apologize for the confusion. Let's calculate the average rate of change in the dolphin's position.
The dolphin went from 3.5 meters above the surface to 10 meters below the surface in 12.5 seconds.
To calculate the average rate of change, we can use the formula:
Average rate of change = (change in position)/(change in time)
Change in position = 10 + 3.5 = 13.5 meters (the total change in distance from the highest point above the water to the lowest depth)
Change in time = 12.5 seconds
Average rate of change = 13.5 meters / 12.5 seconds ≈ 1.08 meters/second.
So the correct interpretation 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 find the change in position (vertical distance) and divide it by the time it took.
The dolphin went from a height of 3.5 meters above the water to a depth of 10 meters below the surface, which is a total change in position of 3.5 + 10 = 13.5 meters.
The time it took for this change in position is given as 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.
To find the average rate of change in the dolphin's position, we need to determine the change in position and the time taken.
The dolphin jumped 3.5 meters above the water and then dove 10 meters below the water. So, the change in position is the sum of these two values: 3.5 + 10 = 13.5 meters.
The time taken for the dolphin to go from its highest point above the water to its lowest depth is given as 12.5 seconds.
To find the average rate of change, divide the change in position by the time taken: 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.