Linear Equation Word Problems

Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?

• y = 150 + 40

• y = 40x + 150

• y = 150x + 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. Write an equation in standard form to describe the situation.

• 40y+100x=1600

• 100x+40y=1600

• 40x+100y+1600

• 100y+40x=1600

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

• 40x + 20 = 340

• 20x + 40 = 340

• 20x - 40 = 340

• 20 + 340 = 40x

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

Linda bought a Bloodgood Japanese Maple tree. In two years, the tree was 7' tall and in 10 years the tree grew to its mature height of 15'. Write an equation in slope-intercept form that shows the number of years, t, it takes to reach a certain height, h.

• h = - t + 9

• h = t + 5

• h = t - 9

• h = -t + 5

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

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

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

Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Find the cost to order 700 business cards

• $46

• $47

• $15

• $43