Linear Word Problems

Which situation below is representative of y-intercept?

• putting $300 a month into savings
• buying $30 worth of supplies for a lemonade stand
• Spending $3 per ride at the fair
• Paying $2 for parking every day

Tags

CCSS.8.EE.B.5

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

Tags

CCSS.HSF-BF.A.1A

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

• y = 30 + 12.5x 
• y = 12.5 + 30
• y = 12.5 + 30x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

• y = 8.5 + 25.5

• y = 8.5x + 25.5

• y = 8.5 + 25.5x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

• y = 7x + 20
• y = 7 + 20x
• y = 20 + 7

Tags

CCSS.6.EE.C.9

Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Will the rate of change (slope) be positive or negative?

• positive

• negative

Tags

CCSS.HSF.IF.B.4

Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?

• y = 3x + 20
• y = 3 + 20x
• y = -3x + 20
• y = -20x + 3

Tags

CCSS.6.EE.C.9

Evan is going to the 50th state fair this weekend. It costs $10 to enter and each ride is $2. Create a linear function that could be used to determine how many "x" rides Evan can go on.

What does the variable "y" represent?

• the number of rides he goes on

• the total cost of going to the fair

Tags

CCSS.HSF.LE.B.5

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

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.

Tags

CCSS.HSF.LE.B.5