Rate of Change from Table, Graph, Equation

Analyze the point (3, 27). What does the point represent? 

• The point (3,27) represents 27 shirts for $3. 

• The point (3,27) represents $27 for 3 shirts. 

Which rate of change represents the graph shown?

• -15 feet per minute

• 15 feet per minute

• -200 feet per minute

• 200 feet per minute

Which rate of change represents the following graph?

• 5 figurines on 1 shelf

• 0.5 figurines on 1 shelf

• 10 figurines on 1 shelf

• 40 figurines on 1 shelf

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 feet/hour

• 116 feet/hour

• 150 feet/hour

• 170 feet/hour

Calculate the average rate of change from 20 to 40 minutes.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

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

What is the rate of change in the equation?
y=8x+6

• 8

• 6

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

• The daily fee for the moving truck

• The per-mile fee for the moving truck

• How much Charlie paid for the truck

• The number of miles he drove

The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes.  What is the meaning of the slope of the equation?

• For $1.00, you can rent a kayak for 20 minutes.

• It costs $0.20 per minute to rent the kayak.

• You have to pay $0.20 up front before using the kayak at all.

• Every .2 minutes, you have to pay $1.00.

What is the meaning of the y-intercept?

• Mrs. Franklin's meal will cost $6.85 if she brings no grandchildren. 

• Mrs. Franklin's meal will cost $2.95 if she brings no grandchildren. 

• Mrs. Franklin's bill will increase by $2.95 for every grandchild she brings. 

• Mrs. Franklin's meal will decrease by $2.95 for every grandchild she brings.