Linear Function Word Problems

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

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

• $100

• 4.50

• $112.50

• $65.00

• $123.45

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.NS.B.3

CCSS.6.RP.A.3

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

• y= 40

• y= 400

• y= 415

• y= 65

• y= 390

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.

If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points apiece?

• 24

• 2

• 5

• 0

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

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.

If you sold 60 cups of lemonade, how many cups of orange drink did you sell?

• 60

• 40

• 10

• 120

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Carson owes the bank money. To repay his debt, he paid $200 back to the bank each month interest free. After 9 months, his remaining debt was $18,000.
What was the original amount of Carson's Debt?

• $18.200
• $18,000
• $19,800
• $16,200

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Carson owes the bank money. To repay his debt, he paid $200 back to the bank each month interest free. After 9 months, his remaining debt was $18,000.
How long did it take Carson to pay back his entire debt?

• 9 months
• 90 months
• 99 months
• 81 months

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

The drama club sold tickets to a play for $5 each.  They also made $55 in soda and popcorn sales.  If the drama club made a total of $290, how many tickets were sold?

• 47
• 58
• 69
• 113

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  

• 20x + 15 = y 
• 35x = y 
• 15x + 20y = 150 
• 150 - 20x = 15y 

Tags

CCSS.6.EE.B.6

CCSS.6.EE.C.9