A dolphin jumped above the surface of the water. It reached an altitude of 3.5 meters above the surface of the water and thendove 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)
O The quotient that describes the rate of change in the dolphin's position is 1.08 meters/second.
O The quotient that describes the rate of change in the dolphin's position is -0.52 meters/second.
O The quotient that describes the rate of change in the dolphin's position is 0.52 meters/second.
O The quotient that describes the rate of change in the dolphin's position is -1.08 meters/second.
The average rate of change in the dolphin's position can be calculated by dividing the change in position by the time it took.
First, we need to calculate the change in position. The dolphin went from a height of 3.5 meters above the surface to a depth of 10 meters below the surface, which is a total change in position of 3.5 + 10 = 13.5 meters.
Next, we divide the change in position by the time it took, which is 12.5 seconds.
Average rate of change = change in position / time taken = 13.5 meters / 12.5 seconds
Calculating the average rate of change gives us 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.
To find the average rate of change in the dolphin's position, we need to divide the total change in position by the total time taken.
The dolphin went from 3.5 meters above the surface to 10 meters below the surface, so the total change in position is 3.5 + 10 = 13.5 meters.
The total time taken is 12.5 seconds.
Now we can calculate the average rate of change:
Average rate of change = Total change in position / Total time taken
Average rate of change = 13.5 meters / 12.5 seconds
Dividing gives us 1.08 meters/second.
Therefore, the quotient that describes the average 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 divide the change in position by the time it took.
The change in position is the difference between its highest point above the water (3.5 meters) and its lowest depth below the surface (10 meters). So, the change in position is 10 meters - 3.5 meters = 6.5 meters.
The time it took for this change to occur is 12.5 seconds.
To find the average rate of change, we divide the change in position (6.5 meters) by the time (12.5 seconds):
Average rate of change = 6.5 meters / 12.5 seconds
Calculating this, we get approximately 0.52 meters/second.
Therefore, the correct answer is:
The quotient that describes the rate of change in the dolphin's position is 0.52 meters/second.