Compare Algebraic Functions

Is the equation linear or nonlinear?

• Linear

• Nonlinear

Is the equation 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?

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

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

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Who has the greater rate of change?

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What is the rate of change for each? Who has the greater rate of change?

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Who has a greater rate of change? (slope)

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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?

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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?

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