Rate of Change Problems

The table below shows the snowfall in a north-eastern city in inches for the first week in January.

Find the average rate of change in the number of inches of snowfall from January 8 to January 11.

• 2/3 in/day

• 2 in./day

• 3 in./day

• 6 in./day

Find the average rate of change of Pete's height from 3 years old to 5 years old.

• 2 inches per year

• 8 inches per year

• 2 years

• 4 inches per year

What is Mrs. Gordon's rate from 0 to 2 seconds?

• 2.5 feet per second

• 0.4 feet per second

• 5 feet per second

• 0.2 feet per second

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 

• 200

• 150

• 300

• 75

What is the rate of change for Function C?

• 2/3

• 3/2

• 3

• 2

Shawn recently went skydiving for his birthday. The relationship between the time in seconds, x, and his elevation in feet, y, is shown in the table below. Find the rate of change and explain its meaning.

• 12,500; Shawn ascends at a rate of 12,500 feet per second.

• -175; Shawn descends at a rate of 175 feet per second.

• -175; Shawn's initial height is -175 feet.

• 12,500; Shawn's initial height is 12,500 feet.

What is the rate of change?

At 0 seconds, Mrs. Taylor was 10 feet off the ground.  At 5 seconds, she was 20 feet off the ground.  What is her rate in feet per second?

• 10 feet per second

• 5 feet per second

• 2 feet per second

• 6 feet per second

Average Rate of Change is also known as...

• y-intercept

• x-intercept

• linear

• slope

A rocket is 1.5 miles above the Earth in 20 seconds and is 8 miles above the Earth in 2 minutes. What is the rocket's rate of change in miles per second?

• 0.065 mps

• 0.361 mps

• 3.892 mps

• 4.145 mps