a dolphin jumped above the surface of the after in reached an attitude of 3.5 meters above the surface of the water and then dove 10 meters below the surface of the water it went from the highest point above the water of its lowest depth in 12.5 seconds interpret the quotient to describes the average rate of change in the dolphins positron give your answer to the nearest hundredth
To find the average rate of change in the dolphin's position, we need to determine the total change in its position and divide it by the total time it took.
The total change in the dolphin's position is from 3.5 meters above the surface to 10 meters below the surface, so it can be calculated as 3.5 + 10 = 13.5 meters.
The total time it took for this change is given as 12.5 seconds.
Now we can calculate the average rate of change by dividing the total change in position by the total time:
Average rate of change = Total change in position / Total time
= 13.5 meters / 12.5 seconds
≈ 1.08 meters per second
Therefore, the average rate of change in the dolphin's position is approximately 1.08 meters per second.
To calculate the average rate of change in the dolphin's position, we need to divide the change in position by the change in time.
The change in position is the difference between the highest point above the water (3.5 meters) and the lowest depth below the water (-10 meters). So the change in position is 3.5 + (-10) = -6.5 meters.
The change in time is given as 12.5 seconds.
To find the average rate of change, we divide the change in position by the change in time:
Average rate of change = Change in position / Change in time
Average rate of change = -6.5 meters / 12.5 seconds
Calculating this value gives us approximately -0.52 meters/second (rounded to the nearest hundredth).
To interpret the quotient that describes 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 difference between the highest point above the water and the lowest depth below the water. In this case, it would be 3.5 meters (highest point) - (-10 meters) (lowest depth), which simplifies to 3.5 meters + 10 meters = 13.5 meters.
The time taken is given as 12.5 seconds.
Now, we can find the average rate of change by dividing the change in position by the time taken: 13.5 meters / 12.5 seconds = 1.08 meters/second (rounded to the nearest hundredth).
Therefore, the average rate of change in the dolphin's position is approximately 1.08 meters per second.