A mountain goat is climbing to the top of a large cliff. The cliff is 50 feet higher than it's 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 hundredths.

The quotient that best represents the rate of change in the goat's elevation is blank feet/ minute.

1 answer

To find the rate of change, we need to divide the change in elevation (50 feet) by the change in time (22 minutes):

Rate of change = Change in elevation / Change in time

Rate of change = 50 feet / 22 minutes

Rate of change ≈ 2.27 feet/minute

Therefore, the quotient that best represents the rate of change in the goat's elevation is 2.27 feet/minute.