Compare Rate of Change for Different Functions

What has the GREATER rate of change.

• y = 7x + 10

• Someone who starts with $6 and gets $8 each day.

• y = 5x + 20

• Someone who starts with $8 and gets $6 each day.

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

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Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear

Is this function 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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Who is losing weight faster?

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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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Equation A: y = 2x + 3

Equation B: y = 3x - 3

Which equation has a higher slope?

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Which panda is growing faster?

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Which statement is true about the rate of change of the two functions?

• Both functions have negative rates of change.

• Both functions have positive rates of change.

• Function 1 has a negative rate of change, while that of Function 2 is positive.

• Function 1 has a positive rate of change, while that of Function 2 is negative.