Finding the Average Rate of Change

What is the average rate of change of the function f(x) = 3x + 7 over the interval [2, 5]?

• 7

• 5

• 9

• 3

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Calculate the average rate of change of the function g(x) = 2x - 5 over the interval [1, 4].

• 2

• 0

• 3

• 1

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Determine the average rate of change of the function h(x) = -4x + 9 over the interval [0, 3].

• 3

• -3

• 4

• -4

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Average Rate of Change is also known as...

• y-intercept

• x-intercept

• linear

• slope

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• 5

• 15

• 0

• 13

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is Mrs. Gordon's rate from 0 to 2 seconds?

• 2.5 feet per second

• 0.4 feet per second

• 5 feet per second

• 0.2 feet per second

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6