Compare Functions

Is the table linear or nonlinear?

• Linear

• Nonlinear

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service. Which service is cheaper for 8 movies in one month?

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

Which company shows a greater rate of change?

Compare the rates of change. Do they have the same rate of change? If they have different rates of change, which one is greater?

Who is losing weight faster?

What is the rate of change for each function, and which one has the greater rate of change?

Who has the greater rate of change?

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits. y = 3x + 10 What does the y-intercept (b) of the graph of this equation represent?

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 = 1/2x + 10

What does the slope (m) of the graph of this equation represent?