A mountain goat is climbing to the top of a large cliff. The cliff is 50 feet higher than its starting point. If it takes the goat 22 minutes to climb this cliff, interpret the quotient to describe the rate of change in the goat’s elevation. Give your answer to the nearest hundredth.(1 point)

To find the rate of change in the goat's elevation, you can calculate it by dividing the total change in elevation by the time it took to climb that distance.

The total change in elevation is 50 feet, and the time taken is 22 minutes.

The quotient can be calculated as follows:

\[
\text{Rate of change} = \frac{\text{Change in elevation}}{\text{Time}} = \frac{50 \text{ feet}}{22 \text{ minutes}} \approx 2.2727 \text{ feet/minute}
\]

Rounding to the nearest hundredth gives:

\[
\text{Rate of change} \approx 2.27 \text{ feet/minute}
\]

So, the quotient that best represents the rate of change in the goat’s elevation is **2.27 feet/minute.**