A squirrel has stored its acorns and a hole that is 45 ft from the ground in a tall tree the squirrel starts on a perch 100 ft above the ground the squirrel moves from perch down to it stored acorns and 5.25 seconds interpret the quotient to describe the rate of change in this girl's high above the ground give your answer to the nearest hundredth a the question that describes the rate of change in the squirrel's height above the ground is -10.48 B the quotient that describes the rate of change in those squirrels hide above ground is negative 19.05 see the quotient that best describes the rate of change in the squirrel's height above the ground is 19.05 Dee the quotient that describes the rate of change in this world's high above the ground is 10.48

Answer 1

To determine the rate of change in the squirrel's height above the ground as it descends from its perch to its stored acorns, we can use the formula for rate of change, which is the change in height divided by the change in time.

1. Initial height (perch): 100 ft
2. Final height (acorns): 45 ft
3. Change in height: Final height - Initial height = 45 ft - 100 ft = -55 ft
4. Change in time: 5.25 seconds

Now, we can calculate the rate of change:

\[ \text{Rate of change} = \frac{\text{Change in height}}{\text{Change in time}} = \frac{-55 \text{ ft}}{5.25 \text{ s}} \approx -10.48 \text{ ft/s} \]

Now, interpreting the options:

• A) The rate of change in the squirrel's height above the ground is -10.48: This is correct, as it matches our calculation.
• B) The rate of change is -19.05: This is incorrect.
• C) The rate of change is 19.05: This is incorrect because the rate is negative.
• D) The rate of change is 10.48: This is also incorrect for the same reason.

Thus, the correct answer is A: The rate of change in the squirrel's height above the ground is -10.48 ft/s.