Compare Linear Functions

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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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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

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CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

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CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which company shows a greater rate of change?

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which function has the greater slope?

• The slope of Function A is greater than the slope of Function B.

• The slope of Functions A is less than the slope of Function B.

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Find the rate of change

• 1
• 2
• 11
• Not a constant slope/Non-Linear

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CCSS.HSF-LE.A.1B

Which function has the GREATEST rate of change?

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Is this function linear or nonlinear?

• Linear
• Nonlinear

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CCSS.8.F.A.3

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay? 

• y = 425x + 600
• y = 425 + 600x
• y = 400x + 625
• y = 400 + 625x

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CCSS.8.F.A.2

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

Who is losing weight faster?

• Valerie
• Oscar
• Mrs. Conte
• They are losing the same amount of weight

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9