Comparing Linear Equations

The gym memberships can be modeled with the two equations:

Equinox Cost = 75m

NYSC Cost = 50m + 100

At which month will they have the same cost?

• Month 0

• Month 12

• Month 3

• Month 4

Solve for y: 8y - 10 = 2y + 32

• y = 5

• y = 6

• y = 7

• y = 8

Solve for t: 7t = 2t + 30

• t = 4

• t = 5

• t = 6

• t = 7

What is in the intersection point in the graph?

• (4 months, $300)

• ($300, 4 months)

• (12 months, $900)

• (0 months, $100)

Equation A:   y = 2x + 3
Equation B:   y = 3x - 3
Which equation has a higher slope? 

• Equation A

• Equation B

• They have the same slope

The total cost (y) at Six Flags can be modeled by y=1.5x+20 where x is the number of rides you ride. Splash Down Dune's can be modeled by y = 2.4x + 15. Which has the steeper slope?

• Six Flags

• Splash Down Dunes

• They are the same

Which equation has a steeper slope?

• Equation A

• Equation B

• They have the same steepness.

• This cannot be determined

• They have the same slope.

Which equation has a steeper slope?

• Equation A

• Equation B

• They have the same slope

• This cannot be determined.

Equation A: y = 2x + 3

Equation B: y = 3x - 3

Which equation has a higher slope?

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