Linear Word Problems Break Even

On the windowsill is a plant that is 15 centimeters tall. It is growing 2 centimeters per week. A second plant, which is 5 centimeters tall, is on the coffee table. It is growing 4 centimeters per week. Eventually the two plants will be the same height. How many weeks will that take?

• 5 weeks

• 25 weeks

• 10 weeks

• 2 weeks

Ron and his cousin Kate are picking apples in their grandparents' orchard. Ron has filled 10 baskets with apples and is filling them at a rate of 6 baskets per hour. Kate has 5 full baskets and will continue picking at 7 baskets per hour. Once the cousins get to the point where they have filled the same number of baskets, they will carry them to the barn and then eat lunch. How long will that take?

• 40 baskets

• 40 hours

• 5 baskets

• 5 hours

Terrence just got his commercial driver's license and is starting a new career as a truck driver. Getting trained and licensed involved a one-time cost of $500. Gas and insurance end up costing him $4 per mile. For his first delivery, Terrence will get paid $400 plus $8 per mile that he drives. If he drives a certain distance on this delivery, Terrence will break even, making back all the money he had to spend. How much would both the costs and the earnings be?

• 25 miles

• $600

• $25

• 600 miles

Yesterday, two friends went into a bank to open savings accounts. Carmen started by putting $60 in her account, and she will deposit an additional $4 each week. Zack made no initial deposit, but he will add $16 more each week. In a few weeks, the friends will have the same account balance. What is that account balance?

• 80 weeks

• $80

• 5 weeks

• $5

We are going to manufacture Whats-Its. The Whats-It machine costs $4000.It also costs $5 for materials and labor for each Whats-It. We are planning to sellour Whats-Its for $12 each. How many Whats-Its must we sell in order to breakeven?

• 571.42

• 572

• 570. 63

• 571

We are going to manufacture Whats-Its. The Whats-It machine costs $4000.It also costs $5 for materials and labor for each Whats-It. We are planning to sellour Whats-Its for $12 each. How many Whats-Its must we sell in order to breakeven?  What is the expression for revenue?

• 12x

• 4000x + 5x + 12x

• 12

• 12x + 5

Kaylee's Bakery recently spent a total of $300 on new equipment, and their average hourly operating costs are $10. Their average hourly receipts are $20. The bakery will soon make back the amount it invested in equipment. How many hours will that take?

• 30 hours

• $30

• $600

• 600 hours

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. 

• 35 nachos, 52 sodas

• 18 nachos, 69 sodas

• 52 nachos, 35 sodas

• 61 nachos, 26 sodas

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

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