A squirrel has stored it acorns in a hole that is 45 feet from the ground in a 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 rate of change in the squirrels height above the ground. Give your answer to the nearest hundredth
To find the rate of change in the squirrel's height above the ground, we divide the change in height by the time it takes to make the change.
The change in height is from 100 feet to 45 feet, which is a decrease of 100 - 45 = 55 feet.
The time it takes for the squirrel to make this change is 5.25 seconds.
To find the rate of change, we divide the change in height by the time it takes: 55 feet / 5.25 seconds =~ 10.48 feet/second.
Therefore, the rate of change in the squirrel's height above the ground is approximately 10.48 feet/second.
To interpret the quotient and describe the rate of change in the squirrel's height above the ground, we need to divide the change in height by the amount of time it took for the squirrel to move from the perch to the stored acorns.
The change in height is given by the difference between the initial height (100 feet) and the final height (45 feet). So, the change in height is 100 feet - 45 feet = 55 feet.
The amount of time it took for the squirrel to move from the perch to the stored acorns 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
Rate of change = 55 feet / 5.25 seconds
Using a calculator, the answer to the nearest hundredth is approximately 10.48 feet/second.
Therefore, the interpret quotient to describe the rate of change in the squirrel's height above the ground is approximately 10.48 feet/second.
To find the rate of change in the squirrel's height above the ground, we need to calculate the average velocity. Average velocity is the change in height divided by the change in time.
First, let's calculate the change in height. The squirrel starts on a perch 100 feet above the ground and moves down to its stored acorns, which are 45 feet from the ground. Therefore, the change in height is 100 - 45 = 55 feet.
Next, we need to calculate the change in time. The squirrel takes 5.25 seconds to move from the perch to the acorns.
Now, we can calculate the average velocity by dividing the change in height by the change in time:
Average velocity = Change in height / Change in time
Average velocity = 55 feet / 5.25 seconds
Using a calculator, we can find that the average velocity is approximately 10.48 feet per second.
Therefore, the interpretation of the quotient is that the rate of change in the squirrel's height above the ground is approximately 10.48 feet per second.