4.4 Linear Functions

Write a rule:  A plumber charges $50 for a house call plus $12 per hour for labor.

• y = 50 x + 12
• y = 50 + 12 x
• y = 62 x
• x = 50 + 12y

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4

What is the definition of function?

• Has inputs and outputs
• Every input has only ONE output
• Inputs have different outputs every time
• x-values and y-values

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CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Is function represented by the table linear or nonlinear?

• linear
• nonlinear

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CCSS.8.F.A.3

Is this function linear or nonlinear?

• Linear
• Nonlinear

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CCSS.8.F.A.3

Which graph is linear?

• Graph A
• Graph B
• Graph C
• Graph D

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CCSS.8.F.A.3

Margaret is a waitress at The Seafood Bonanza.  She earns $3 an hour plus 90% of her tips.  Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

• 3h + 0.90d = S
• S = 90d + 3h
• S = 3d + 90h
• S = 3h + 9.0d

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CCSS.6.EE.C.9

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 0.20x + 15
• C =15 (0.20x)
• C = 15 + x + 0.20
• C = 0.20 + 15x

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A man is climbing down from 100 feet high descending 30 feet per minute. Which function models his descent?

• y = 100 - 30x

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

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CCSS.HSF-BF.A.1A

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15
• C = 15h + 2
• h = 15C + 2
• C = 2h + 15

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CCSS.6.EE.C.9

A golf course charges $15 to rent golf clubs and charges $25 per round to play.  Write an equation to represent the total cost, T, for one player.

• T = 15 + 25r
• T = 15g + 25r
• T = 40 r
• T = 15r + 25

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2