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)

Question

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

Answer 1

To find the rate of change in the goat's elevation, we divide the change in elevation (50 feet) by the time taken (22 minutes).

Rate of change = Change in elevation / Time taken

Rate of change = 50 feet / 22 minutes

Calculating this value to the nearest hundredth gives:

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.

Answer 2

A bird is flying at an average altitude of 10 meters above the ground. After 3 seconds, it settles on a branch that is 3 meters above the ground. Interpret the quotient to describe the rate of change in the bird’s altitude. Give your answer to the nearest hundredth and remember that the bird is descending.(1 point)
The quotient that best represents the rate of change in the bird’s altitude is meters/second.