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.
To find the average rate of change in the dolphin's position, we need to divide the change in position by the time taken.
The change in position is the difference between the highest point and the lowest depth, which is 3.5 + 10 = 13.5 meters.
The time taken is 12.5 seconds.
Dividing the change in position by the time taken, we get an average rate of change of position of 13.5/12.5 = 1.08 meters per second.
Therefore, the interpretation of the quotient is that the dolphin's position changes by an average of 1.08 meters per second.
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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
I already did it.
To find the average rate of change in the dolphin's position, we need to calculate the vertical distance it covered divided by the time it took.
The dolphin jumped 3.5 meters above the water and then dove 10 meters below the surface, so the total vertical distance covered is 3.5 + 10 = 13.5 meters.
The time it took for the dolphin to go from its highest point above the water to its lowest depth is given as 12.5 seconds.
So, the average rate of change in the dolphin's position can be calculated as 13.5 meters / 12.5 seconds.
Dividing 13.5 by 12.5 gives approximately 1.08.
Therefore, the average rate of change in the dolphin’s position is approximately 1.08 meters per second.
To find the average rate of change in the dolphin's position, we need to determine the change in position (vertical distance) divided by the time it took.
The dolphin reached an altitude of 3.5 meters above the water's surface and dove 10 meters below the surface, resulting in a total change in position of 3.5 + 10 = 13.5 meters.
Since the dolphin went from its highest point above the water to its lowest depth in 12.5 seconds, we divide the change in position (13.5 meters) by the time (12.5 seconds):
Average rate of change = Change in position / Time
Average rate of change = 13.5 meters / 12.5 seconds
To compute this, divide 13.5 by 12.5:
Average rate of change ≈ 1.08 meters/second
So, the average rate of change in the dolphin's position is approximately 1.08 meters/second.