Rates and Averages

Find the average rate of change over the given interval. 

• 4

• 7

• 7/3

• 3/7

What is the average rate of change of [1, 5]?

• -0.65

• -0.75

• 3.75

• 4

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

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

What is the average rate of change from x=0 to x=1

• -3

• 3

• 0

• 2

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.

• 2 in.

• 3 in.

• 6 in.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

• 2

• 1/2

• -2

• -1/2

Which of the following graphs has the largest average rate of change from -1 to 2?

• 
• 
• 
• 

Average Rate of Change is also known as...

• y-intercept

• x-intercept

• linear

• slope

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