Finding Rate of Change of Equations

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

What is the average rate of change between hour 15 and hour 30?

• $93.75/hr

• $6.25/hr

• $43.75/hr

• $6.75/hr

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.

At what rate did the rain fall?

• 2 cm per hour

• ¹/₄ cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

During a snowstorm, John measured the total snowfall accumulated at the end of each hour.  He recorded his results in the table below.  What is the approximate average rate of change of the snowfall between 1 p.m. and 6 p.m.?

• 0.7 inch/hour

• 0.9 inch/hour

• 1.1 inch/hour

• 1.4 inch/hour

Who has the greater rate of change?

• Smith has the greater rate of change.

• Harmon has the greater rate of change.

• Macey has the greater rate of change.

• They have the same rate of change

Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear

Calculate the rate of change.

• 6

• 1/6

• -6

• -1/6

What is the rate of change in the following function: f\left(x\right)=4x-5

• 4

• 4x

• 5

• -5