A squirrel has stored its acorns in a hole that

is 45 feet from the ground in tall tree. The squirrel starts on a perch 100 feet above the ground. The squirrel moves from the perch down to its stored Acorns in 5.25 seconds. Interpret the quotient to describe the rate of change in the squirrel's height above the ground. Give your answer to the nearest hundredth.

4 answers

To find the rate of change in the squirrel's height above the ground, we need to divide the change in height by the time taken.

The squirrel starts on a perch 100 feet above the ground and moves down to the acorns stored 45 feet from the ground. This means the change in height is 100 - 45 = 55 feet.

The time taken is 5.25 seconds.

To find the rate of change, we divide the change in height by the time taken:

Rate of change = Change in height / Time taken
Rate of change = 55 feet / 5.25 seconds
Rate of change ≈ 10.48 feet per second

So, the rate of change in the squirrel's height above the ground is approximately 10.48 feet per second.
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 the 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 dolphins 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 dolphin jumped from an altitude of 3.5 meters above the surface of the water to a depth of 10 meters below the surface. This means the change in position is 3.5 + 10 = 13.5 meters.

The time taken is 12.5 seconds.

To find the average rate of change, we divide the change in position by the time taken:

Average rate of change = Change in position / Time taken
Average rate of change = 13.5 meters / 12.5 seconds
Average rate of change ≈ 1.08 meters per second

So, the average rate of change in the dolphin's position is approximately 1.08 meters per second.
A scuba diver was at a depth of 15 meters below the surface when she saw something interesting about 10 meters lower. She made the descent in 10.1 seconds. Interpret the quotient to describe the rate of change in the diver’s depth. Give your answer to the nearest hundredth.(1 point) Responses The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second. The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second. The quotient that describes the average rate of change for the diver’s depth is −0.49 meters/second. The quotient that describes the average rate of change for the diver’s depth is negative 0.49 meters/second. The quotient that describes the average rate of change for the diver’s depth is −3.47 meters/second. The quotient that describes the average rate of change for the diver’s depth is negative 3.47 meters/second. The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.