Average Rate of Change Over an Interval

Find the rate of change for the interval ⌈1,5⌋

• 1

• 2

• 11

• Not a constant slope/Non-Linear

Find the rate of change for the interval ⌊1,4⌋

• 3

• -3

• 20

• Not a constant slope/Non-Linear

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 of change in feet per second?

• 10 feet per second

• 5 feet per second

• 2 feet per second

• 6 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 ft per hour

• 150 ft per hour

• 300 ft per hour

• 75 ft per hour

What is the rate of change for the function
f(x) = 2(2)^x over the interval ⌊1,3⌋?

• 6

• -6

• 2

• 1/2

What is the rate of change for the function
f(x) = -4x + 10 over the interval ⌊4,8⌋?

• -4

• 4

• 10

• -.4

Find the average rate of change over the given interval. 

• 4

• 7

• 7/3

• 3/7

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.

• 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