Linear Equation Word Problems

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

Tags

CCSS.HSF-BF.A.1A

Which situation can be represented by the equation y = 8x + 42.5

• Emily plans to take art classes to learn how to paint. She spends $42.50 on supplies at Hobby Lobby and $8.00 on supplies at Michaels. What is y, the total amount spent after buying x supplies?

• Ari has $42.50 in her bank account. She spends $8.00 on Christmas gifts for each of her AVID mentees. How much total money, y, does Ari have in her account after buying x, gifts?

• Christine buys some movie tickets for $8.00 each. Then she spends $42.50 on snacks at the concession stand. What is y, the total amount spent after buying, x, tickets?

• Stephen is a baker and sells birthday cakes. He spends $42.50 on ingredients, then charges $8.00 per cake. What is y, the total amount earned after selling x, cakes?

Tags

CCSS.HSF.LE.B.5

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 15x + 40

• y = 40x + 15

• y = 15x

• y = 15x - 40

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.7.EE.B.3

The rental rate at Rent A Wreck is $30 per day plus $0.25 per mile driven.

How much would a 100 mile rental cost?

• $45

• $55

• $23

• $100