Rate of Change in Word Problem

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

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

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

The Jamison family kept a log of the distance they traveled during a trip, as represented by the graph below. During which interval was their average speed the greatest?

• the first hour to the second hour

• the second hour to the fourth hour

• the sixth hour to the eighth hour

• the eighth hour to the tenth hour

An industrial water storage tank is being drained to be cleaned. Before they started draining the tank, it had 5,000 gallons in it. In 5 minutes, the tank had 4000 gallons. What is the average rate of change?

• 40 gallons per minute

• -40 gallons per minute

• -200 gallons per minute

• -25 gallons per minute

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

A store sees 120 customers in 8 hours. How many customers will there be in an hour? Select all that apply in solving this question.

• Only find unit rate

• Find AND use the unit rate

• 15 customers

• 1/15 customers

If Justin can type 408 words in 4 minutes, how many words can he type in 7 minutes? How can one approach this question?

• Only find unit rate

• Finding AND use the unit rate

Mr. Z is starting his own car club, there is a $30 join up fee and a $5 monthly fee. What is the rate of change?

• 30

• 5