Rate of Change Problems

A climber is on a hike. After 4 hours he is at an altitude of 800 feet. After 7 hours, he is at an altitude of 950 feet. What is the average rate of change? 

• 200

• 150

• 75

• 50

At 5 seconds, Mrs. Taylor was 10 feet off the ground.  At 11 seconds, she was 34 feet off the ground.  What is her rate in feet per second?

• 5 feet per second

• 2 feet per second

• 4 feet per second

• 6 feet per second

A rocket is 1 mile above the earth in 30 seconds and 5 miles above the earth in 2.5 minutes. What is the rockets rate of change in miles per second? What about miles per second?

Hint: Convert minutes to seconds

A rocket is 2.5 miles above the Earth in 30 seconds and is 8 miles above the Earth in 2 minutes. What is the rocket's rate of change in miles per second?

Hint: Convert 2 minutes to seconds.

• 0.065 mps

• 0.061

• 0.6

• 4.145 mps

Eli paid $15.00 for 6 notebooks. He can also get 14 notebooks for $35.00. What is the rate of change?

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 6 to January 11.

Amira can type 480 words in 5 minutes. After 15 minutes, she typed 1440 words. What is her average rate of change per minute?

Calvin's bank account went from -$46 to $568 from August to December. Calculate his rate of change.

• $122.80

• $153.50

• $140.15

• $211.05

Will spent $3.75 for 3 pounds of rice. Keith spent $13.75 for 11 pounds of the same rice. Calculate the rate of change.

• $1.45 

• $2.30 

• $11.25

• $1.25

A wrestler weighed 257 pounds in 2007 and now weighs 325 pounds in 2024. What is his rate of change in weight?

• 16 pounds per year

• 4 pounds per year

• 3.16 pounds per year

• 7 pounds per year