A squirrel has stored its acorns in a hole that is 45 feet from the ground in a tall tree. The squirrel moved from a perch 100 feet above the ground to get 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.

Help I am so confused.

10.48 Negative 10.48

To interpret the quotient that describes the rate of change in the squirrel's height above the ground, we need to calculate the change in height divided by the time it took for the squirrel to move.

In this case, the squirrel moved from a perch 100 feet above the ground to its stored acorns, which are located 45 feet from the ground. The change in height is therefore 100 - 45 = 55 feet.

The time it took for the squirrel to move between these heights is given as 5.25 seconds.

To calculate the rate of change, we divide the change in height (55 feet) by the time (5.25 seconds):

Rate of change = Change in height / Time = 55 feet / 5.25 seconds

Using a calculator or performing the division, we find that the rate of change is approximately 10.48 feet per second.

So, the quotient describes the rate of change in the squirrel's height as approximately 10.48 feet per second.