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)
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 to make that change.
The change in position is the difference between the altitude it reached above the water (3.5 meters) and the depth it dove below the surface (10 meters). So the change in position is 3.5 - (-10) = 13.5 meters.
The time it took to make that change in position is 12.5 seconds.
So the average rate of change in the dolphin's position is 13.5 meters / 12.5 seconds = 1.08 meters/second.
Therefore, the average rate of change in the dolphin's position is approximately 1.08 meters/second.
To find the average rate of change in the dolphin's position, we need to calculate the change in position divided by the time taken.
The change in position is the sum of 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 time taken is 12.5 seconds.
So, the average rate of change in the dolphin's position is -6.5 meters / 12.5 seconds, which is approximately -0.52 meters per second.
To find the average rate of change in the dolphin's position, we need to calculate the change in position (in meters) divided by the change in time (in seconds).
The change in position can be found by subtracting the highest point above the water from the lowest depth below the water:
Change in position = 3.5 meters (highest point) - (-10 meters) (lowest depth)
= 3.5 meters + 10 meters
= 13.5 meters
The change in time is given as 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 = Change in position / Change in time
= 13.5 meters / 12.5 seconds
≈ 1.08 meters/second
Therefore, the average rate of change in the dolphin's position is approximately 1.08 meters/second.