Modeling Linear Relationships L4: Constructing Functions Given A Verbal Description

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Your four-month bill for the gym comes to $221. That includes the cost per month of $50 plus the one-time membership fee. How much is the membership fee?

• $21

• $171

• $4.42

• $15.50

Tags

CCSS.7.EE.B.4A

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.HSA.SSE.A.1

CCSS.HSS.ID.C.7

Derrick started up a charity for the local animal shelters. He started selling handmade dog leashes for $5. It cost him $120 to get the supplies to make the leashes. Write an equation for the amount of money he raises, A, if he sells x amount of leashes.

• A = 120 + 5x

• A = 120x + 5

• A = -120 + 5x

• A = 120 - 5x

Tags

CCSS.HSF-BF.A.1A

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Alan is saving for a used motorcycle that costs $3000. He has already saved $900 and he plans to save $100 each week. How long will it take for him to afford the motorcycle

• 39 weeks

• 4 weeks

• 21 weeks

The drama club sold tickets to a play for $5 each.  They also made $55 in soda and popcorn sales.  If the drama club made a total of $290, how many tickets were sold?

• 47
• 58
• 69
• 113

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

• 222.5 = m(35 + 0.75)
• 222.5 = 35 + 0.75m
• 222.5 = 0.75 + 35m
• 222.5 = 0.75(m + 35)

Tags

CCSS.7.EE.B.4A