Linear Word Problems With Context

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

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

As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft costs $100 to rent and each small raft costs $40 to rent. You have $1,600 to spend. Write an equation in standard form to describe the situation.

• 40y+100x=1600

• 100x+40y=1600

• 40x+100y+1600

• 100y+40x=1600

Your four-month bill for the gym comes to $221. That includes the cost per month of $50 plus the one-time membership fee. How much is the membership fee?

• $21

• $171

• $4.42

• $15.50

A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. Show this using y = mx + b form.

• y=-2x+120

• y=1/2x+220

• y=2x+220

• y=2x+120

A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus?

• 120

• 220

• 180

• 30

I rent a gym for 30 students and the cost is $150. Another time I rent the gym for 70 students and the cost is $270.00. What is the fixed rate?

• $20

• $60

• $80

• $40

As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft costs $100 to rent and each small raft costs $40 to rent. You have $1,600 to spend. Find the number of small rafts you can rent if you rent 12 large rafts.

• 12

• 10

• 11.2

• 11

Alex is on a diet to lose some weight. He is losing weight at a rate of 2 pounds per week. After 6 weeks, he weighs 205 pounds. Find how many weeks it will take Alex to reach his target weight of 175 pounds.

• 22 weeks

• 21 weeks

• 20 Weeks

• 19 weeks

Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Write a linear equation to describe this scenario.

• y=0.04x+15

• y=-0.04x+15

• y=0.4x+15

• y=-0.4x+15