Linear Function Word Problems

The price p of an ice cream is $3.95 plus $0.85 for each topping t on the ice cream.

• p = 0.85t - 3.95

• p = 0.85t + 3.95

• p = 3.95t + 0.85

Tags

CCSS.6.EE.C.9

A football team averages 4.5 yards/play. They start a drive on their own 20 yard line. Write a function that tells how far d from their own goal line they will be as a function of plays p.

• d= 4.5p - 20

• p=4.5d + 20

• p= 4.5d - 20

• d= 4.5p + 20

Tags

CCSS.HSF-BF.A.1A

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

Write an equation to represent the situation

• 2x - 3y = 240

• 3y - 2x = 240

• 2x + 3y = 240

• 2 + 3 = 240

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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 a greater entrance fee?

• Six Flags

• Splash Down Dunes

• They are the same

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

You are laying bricks for a patio. Every row has 20 bricks in it. Write a function that represents the number of bricks (y) you lay in x rows.

• y= x+20

• y=20

• y=20x

• 20 = x

Tags

CCSS.HSF-BF.A.1A

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

• y = 625x + 225
• y = 225x 
• y = 225x + 625
• y =  625

Tags

CCSS.8.EE.B.5

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = 100 - 30x
• y = 100 + 30x
• y = 100x + 30
• y = 100x - 30

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2