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)
The quotient that best represents the rate of change in the goat's elevation is feet____minute.
The rate of change in the goat's elevation can be calculated by dividing the change in elevation (50 feet) by the time it takes to climb the cliff (22 minutes).
Rate of change = change in elevation / time
Rate of change = 50 feet / 22 minutes
Using a calculator, this simplifies to approximately 2.27 feet/minute.
Therefore, the quotient that best represents the rate of change in the goat's elevation is 2.27 feet/minute.
To find the rate of change in the goat's elevation, we need to calculate the change in elevation per minute.
The cliff is 50 feet higher than the goat's starting point, and it takes 22 minutes to climb the cliff.
Therefore, the rate of change in the goat's elevation can be determined by the quotient:
Rate of change = Change in elevation / Time taken
Rate of change = 50 feet / 22 minutes
Calculating this quotient, we get:
Rate of change = 2.27 feet/minute
Therefore, the rate of change in the goat's elevation, rounded to the nearest hundredth, is approximately 2.27 feet/minute.