Average Rate of Change Over an Interval

Average Rate of Change vs. Rate of change

Now, let's see if you can use ARC to answer some questions.

Hint: Rate of change is constant. ARC is variable (changes).

Multiple Choice

Which of the following intervals has the largest average rate of change?

• [13,14]
• [13, 17]
• [16, 17]
• [16, 19]

Multiple Choice

Use the given function or the graph to find the average rate of change

• 5

• -1/5

• -5

• 15

Multiple Choice

Use the given function or the graph to find the average rate of change

• 3

• -3

• 3/2

• -1/3

Multiple Choice

Find the average rate of change of f(x)=2x²+3x-1 from 1 to 2.

• 18

• -9

• 9

• 3

Multiple Choice

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

Multiple Select

Which of the following graphs or equations have an average rate of change of 2 from the x-values 0 to 3? (check all that apply)

• f(x)=x²+2x-3

• f(x)=x³-7x-1

Multiple Choice

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

• 2.5 feet per second
• .4 feet per second
• 5 feet per second
• .2 feet per second

Multiple Choice

What is the slope of c(x) when 2< x < 3

• 4
• 5
• 2
• 1

Multiple Choice

Find the average rate of change over the given interval. 

• 4
• 7
• 7/3
• 3/7

Multiple Choice

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

• -0.65
• -0.75
• 3.75
• 4

Multiple Choice

Find the average rate of change over the given interval. 

• 4
• 7
• 7/3
• 3/7

Multiple Choice

What was the average rate of change in the population from 1900 to 1990?

• 175 million people/year
• 1.94 million people/year
• 2.13 million people/year
• -1 million people/year

Multiple Choice

Which of the following intervals has the largest average rate of change?

• [13,14]
• [13, 17]
• [16, 17]
• [16, 19]

Multiple Choice

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