A mountain goat is climbing to the top of a large cliff. The cliff is 50 feet higher than the starting point. If It takes the goat 22 mins to climb the cliff, interpret the quotient to describe the rate of change in the goat's elevation. Give your answer to the nearest hundredth.
The rate of change in the goat's elevation can be calculated by dividing the increase in elevation (50 feet) by the time taken to climb the cliff (22 minutes).
Rate of change = Increase in elevation / Time taken
Rate of change = 50 feet / 22 minutes
Calculating this quotient gives a rate of change of approximately 2.27 feet per minute.
To find the rate of change in the goat's elevation, we need to determine the change in elevation divided by the time taken.
The change in elevation is 50 feet because the cliff is 50 feet higher than the starting point.
The time taken is 22 minutes.
Thus, the rate of change in elevation is 50 feet divided by 22 minutes.
= 2.27 feet per minute (rounded to the nearest hundredth).
Therefore, the quotient 2.27 describes the rate of change in the goat's elevation.