Word Problem Linear Equations

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

• x = 2y + 15

• y = 15x + 2

• x = 15y + 2

• y = 2x + 15

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 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.HSS.ID.C.7

CCSS.HSA.SSE.A.1

You are visiting Baltimore, MD and a taxi company charges you a flat fee of $3.00 for using the taxi and $0.75 per mile.

Which of the following equations matches the situation?

• 0.75x + 3y = 50

• y = 0.75x + 3

• y = 3x + 0.75

• 3x + 0.75y = 50

• 50 = -0.75x + y

Tags

CCSS.6.EE.C.9

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

Which equation represents this situation?

• y= 30x + 0.25

• y= 25x + 30

• y= 0.25x + 30

• y= 0.25 + 30

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which equation is being represented by this line?

• y = -1x + 2
• y = 1/2x + 2
• y = 3x -4
• y = -3x +2

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

• y = 30 + 12.5x 
• y = 12.5 + 30
• y = 12.5 + 30x

Tags

CCSS.6.EE.C.9

Given the table, write the equation in the slope-intercept form.

• y = 1/3x + 6
• y = 3x + 6
• y = 2x + 6
• y = 1/2x + 6

Tags

CCSS.HSS.ID.C.7

CCSS.HSA.CED.A.2

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  Write a linear equation that could be used to find how many songs he downloaded.

• y = 0.95x + 7.95
• y = 7.95x + 0.95
• y = 0.95x - 7.95
• y = - 0.95x + 7.95

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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