Writing Equations from Word Problems

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 15x + 40

• y = 40x + 15

• y = 15x

• y = 15x - 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 = 30x + 12.50

• y = 12.50x + 30

• y = 12.50 + 30

• 12.50x = 30

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.

• y = 8.5 + 25.5
• y = 8.5x + 25.5
• y = 8.5 + 25.5x
• y = 8.5x + 25.5x

Jacob collects hats.  He has 6 hats already, and he collects 2 hats a week.

• y = 2x + 6
• y = 6x + 2
• y = 2x - 6
• y = 6x - 2

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x
• y=15x+80
• y=x+15
• y=80x+15

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

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

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