APPLICATIONS OF DIVIDING RATIONAL NUMBERS PRACTICE:
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 goal 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.
The quotient that best represents the rate of change in the goat's elevation is _____ feet/minute.
The quotient that best represents the rate of change in the goat's elevation is 50/22 feet/minute.
To evaluate this quotient and give the answer to the nearest hundredth, we divide 50 by 22:
50/22 = 2.27 feet/minute
Therefore, the rate of change in the goat's elevation is approximately 2.27 feet/minute.
To find the rate of change in the goat's elevation, we need to divide the change in elevation by the time it takes to climb the cliff.
Given:
Change in elevation = 50 feet
Time taken to climb = 22 minutes
To calculate the rate of change in feet/minute, we divide the change in elevation by the time taken:
Rate of change = Change in elevation / Time taken
Rate of change = 50 feet / 22 minutes
Calculating this division, we get:
Rate of change = 2.27 feet/minute (rounded to the nearest hundredth)
Therefore, the quotient that best represents the rate of change in the goat's elevation is approximately 2.27 feet/minute.