Rate of Change and Word Problems

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

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

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

What is the rate of change for Function C?

• 2/3

• 3/2

• 3

• 2

What is the rate of change?

Mathematical Equivalence

ON

Tags

CCSS.HSF.IF.B.6

A company produces 500 units of a product in 8 hours. What is the average rate of production per hour?

• 100

• 75

• 50

• 62.5

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

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