Average Rate of Change

For the following function, what is the average rate of change over the x interval [-1,2]

• -7

• -3

• 2

• 3

What is the average rate of change over the x-interval [0,5]

The table below shows the number of students enrolled in online classes at a local community college over the past several years. What was the average rate of change in enrollment in online classes from 2015 to 2018?

• Increased by an average of 105 students per year

• Increased by an average of 140 students per year

• Increased by an average of 210 students per year

• Increased by an average of 420 students per year

For the function shown, what is the Average Rate of Change over the x interval [1,3]

• 2

• -2

• -4

• 4

The function F(t) below shows the temperature (in degrees Fahrenheit) of a cake t minutes after it was removed from the oven. Describe the average change in temperature from 10 minutes to 20 minutes.

• The temperature decreased by an average of 4.8 degrees per minute.

• The temperature decreased by an average of 2.4 degrees per minute.

• The temperature increased by an average of 2.4 degrees per minute.

• The temperature increased by an average of 4.8 degrees per minute.

What is the average rate of change in G(x) (shown in the graph below) from x = -4 to x = -1?

• -1

• 2

• -2

• 1

The function h(t) shown in the graph above models the height over time of a bottle rocket launched from the roof of a house. Which of the following statements is true?

• The average rate of change in height of the bottle rocket from 0 to 0.5 seconds was less than the average rate from 1 to 1.5 seconds.

• The height of the rocket was decreasing over the interval 1.5 to 3.5 seconds.

• The average rate of change in height of the rocket from 1.5 to 2.5 seconds is about 5 meters per second.

• Given the context, an appropriate domain for h(t) is all real numbers.

  HINT: Think about what "ALL REAL NUMBERS" means

“From 50 to 60 years old, the person who started investing at age 25 will earn ____________ more on average than a person who started investing at age 35.”

• $13.96 thousand per year

• $17.63 thousand per year

• $31.59 thousand per year

• $49.22 thousand per year

A company that sells air purifiers.

The company offer two options for paying its sales people each month based on the number of devices they sell.

The 2 options are shown on the right

What does the average rate of change represent in this situation?

• the average number of air filters sold

• the average monthly pay

• the average amount earned from the sale of each air purifier

• the average cost of the air purifier

Compare the average rate of change in monthly pay from selling 0 to 5 air purifiers for Options 1 and 2.

• The average rate of change for Option 1 is greater than that of Option 2.

• The average rate of change for Option 1 is about the same as that of Option 2.

• The average rate of change for Option 1 is less than that of Option 2.