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 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 correct interpretation of the quotient to describe the average rate of change in the dolphin's position is:
The quotient that describes the rate of change in the dolphin’s position is 0.28 meters/second.
no its not
Apologies for the incorrect response. Let's calculate the correct average rate of change in the dolphin's position.
To calculate the average rate of change, we need to find the total change in position and divide it by the total time taken.
The total change in position is the sum of the altitude reached above the water (3.5 meters) and the depth dived below the surface (10 meters), which is 3.5 + 10 = 13.5 meters.
The total time taken is 12.5 seconds.
To find the average rate of change, we divide the total change in position by the total time taken:
Average rate of change = Total change in position / Total time taken
= 13.5 meters / 12.5 seconds
Calculating this value, we get:
Average rate of change = 1.08 meters/second
Therefore, the correct interpretation is:
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.
negative or positive
Apologies for the confusion. Let's determine whether the average rate of change in the dolphin's position is negative or positive.
Since the dolphin went from its highest point above the water (3.5 meters) to its lowest depth below the surface (10 meters) in 12.5 seconds, we can conclude that the dolphin's position decreased over time. Therefore, the average rate of change in the dolphin's position is negative.
So, the correct interpretation is:
The quotient that describes the rate of change in the dolphin’s position is -1.08 meters/second.