Writing Linear Equations from Word Problems

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to represent this situation.

• y = 2x + 15

• x = 15y + 2

• y = 15x+ 2

Bob's Plumbing charges $25 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 25x + 40

• y = 40x + 25

• y = 25x

• y = 25x - 40

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

• y = 12.50 + 30x

• y = 30 + 12.50x

• y = 12.50 + 30

• 12.50x = 30

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenario?

• y = -50x + 90

• y = 90x + 50

• y = -90 - 50x

• y = 50 - 90x

Amelia has $100 in her savings account and plans on solving $20 per week. Write an equation to represent this situation.

• y = 100x

• y = 20x

• y = 20x + 100

• y = 100x + 20

Sally plans to walk 12 miles every week. Write an equation to represent this situation.

• y = 12x

• y = 12x + 12

• y = 10x + 2

• y = 2x + 10

Connor has sold 15 cups of lemonade at his stand and will sell 5 more cups per hour. Write an equation to represent this situation.

• y = 10x + 5

• y = 20x

• y = 15x + 5

• y = 5x + 15

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = 100 - 30x
• y = 100 + 30x
• y = 100x + 30
• y = 100x - 30

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

• y = 150 + 40

• y = 40x + 150

• y = 150x + 40

A plant is 5cm tall and growing at a rate of 3cm a month.

• y = 5 - 3x

• y = 5x + 3

• y = 3x +5