Linear Equation Word Problem

ChitChat Wireless charges $0.30 per minute plus a monthly base fee. In September, Maggie used 120 minutes and her bill was $51. Write a equation to find the cost of the base fee. Select all that apply.

• y - 51 = 0.3 (x - 120)

• y + 51 = 0.3 (x + 120)

• y = 0.3(120) + 51

• 51 = 0.3(120) + b

A music app charges $2 to download the app plus $1.29 per song downloaded. Write a linear equation to find the total cost to download 30 songs.

• y=1.29x + 2

• y=1.29 + 2x

• 30 = 1.29x + 2

• y = 1.29(30) + 2

An airplane at 30,100 feet above ground begins descending at the rate of 2,150 feet per minute. Write a linear equation to find how many minutes it will take the plane to reach the ground.

• y=30100 - 2150x

• y = 30100 + 2150x

• 0 = 30100 - 2150x

• y = 30100 - 2150(0)

A group of mountain climbers begin an expedition with 250 pounds of food. The plan to eat a total of 12 pounds of food per day. Write a linear equation to find the number of days their food will last.

• y = 250 + 12x

• y = 250 - 12x

• 0 = 250 - 12x

• y = 250 - 12(0)

There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to rent a truck. Write an equation to find the daily fee. (Select all that apply.)

• 48 = 0.5x + 64

• y - 64 = 0.5 (x - 48)

• 64 = 0.5(48) + b

• 48 = 0.5(64) + b

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

To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $102.00 The cost for 8 tickets is $150. What are the two points that we could use to find a linear equation for cost, C, of t tickets?

Norb is a waiter in a diner.  He earns $4 per hour plus 95% of his tips.  Which equation can be used to determine his salary, S, if he works t hours and earn d dollars in tips?

• S = 4t + 0.95d

• S = 95t + 4d

• S = 0.4t + 9.5d

• S = 4t + 9.5d

The Bombetta Company wants to send a team of three representatives to a conference.  Their budget is $700.00 plus $125.00 per day for expenses.  If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

• 125x + 700 ≥1,400

• 700 + 125x ≤1,400

• 700x + 125 ≤1,400

• 125x - 700 ≤ 1,400

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