To find the average rate of change in the dolphin's position, we need to determine the total change in position (in this case, in meters) and divide it by the total time taken.
The total change in position is the sum of the maximum altitude above the water and the maximum depth below the water: 3.5 meters + 10 meters = 13.5 meters.
The total time taken 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 (rounded to the nearest hundredth).
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.
2 answers
Here
1. The quotient that describes the rate of change in the squirrel’s height above the ground is −10.48 feet/second.
2. The quotient that describes the rate of change in the dolphin’s position is −1.08
meters/second.
3. The quotient that describes the average rate of change for the diver’s depth is −0.99
meters/second.
4. −$333.33
5. −4 ounces
1. The quotient that describes the rate of change in the squirrel’s height above the ground is −10.48 feet/second.
2. The quotient that describes the rate of change in the dolphin’s position is −1.08
meters/second.
3. The quotient that describes the average rate of change for the diver’s depth is −0.99
meters/second.
4. −$333.33
5. −4 ounces