To determine the rate of change in the goat's elevation, you will need to know the total change in elevation (in feet) that the goat experiences over the 22 minutes of climbing.
The formula for rate of change is given by:
\[ \text{Rate of Change} = \frac{\text{Change in Elevation}}{\text{Time taken}} \]
If you have a specific change in elevation, simply divide that by 22 minutes to find the rate in feet per minute.
For example, if the goat climbs 110 feet during that time, the calculation would be:
\[ \text{Rate of Change} = \frac{110 \text{ feet}}{22 \text{ minutes}} = 5 \text{ feet/minute} \]
Once you have the actual change in elevation, just replace "110 feet" with that value and calculate accordingly, rounding your final answer to the nearest hundredth as necessary.