Linear Relationships Word Problems

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

• y = 8.5 + 25.5

• y = 25.5 + 8.5x

• y = 8.5 + 25.5x

Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

• y = 7x + 20

• y = 7 + 20x

• y = 20 + 7

Sonya has $40 in her lunch account and pays $2 each day to eat lunch.  Which equation can be used to find the amount of money Sonya has left on her account after x days?

• y = 40 + 2x

• y = 40 - 2x

• y = 2 + 40x

• y = 2 - 40x

Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?

• y = 3x + 20

• y = 3 + 20x

• y = -3x + 20

• y = -20x + 3

For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a liner equation to represent the situation.

• y = 12 + 325

• y = 12x  + 325

• y = 325 - 12x

• y = 325x + 12

Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.

• y = 48x + 5

• y = -5 + 48x

• y = -5x - 48

• y = 48 - 5x

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

• y = 30x + 20

• y = 30 + 20x

• y = 50x

• y = 60x

Melissa rented a Segway, a stand up scooter, in downtown Austin, Tx. The store charges a $3.25 initial charge plus $2.50 per mile.

Which equation can be used to find y, the total cost of the rental, if x represents the number of miles Melissa rode on the Segway?

• y=2.50x +3.25

• y=3.25x +2.50

• y=3.25(x+2.50)

• y=2.50x − 3.25

A construction company is building a new office building with x floors that will have a roof that is 35 feet tall. Each floor of the building will be 10.5 feet high.

Which equation can be used to find the total height of the office building, y, with x floors and the roof?

• y=35x+10.5

• y=10.5x+35

• y=10.5(x+35)

• y=35(x+10.5)

One wedding cake design has a base layer that is 5 inches tall, and each additional layer is 3 inches tall. Use h to represent the height of this cake and t to represent the number of additional layers.

Which algebraic rule gives the height of a wedding cake made in this design?

• t=3+5h

• t=5+3h

• h=3+5t

• h=5+3t