Modeling Linear Relationships

Bowling costs $4 for shoe rental plus $5 for every game. Which equation shows how much it costs to go bowling for x games?

• y = 4 + 5x

• y = 5 + 4x

• y = 4•5•x

• y = 5x - 4

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

• y = 190x

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

• y = 50x + 8

• c = 50m + 8

• c = 8m + 50

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 initial fee of $8.

• The additional fee of $25.

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

A dog walker earns $10 plus $3 per dog. What equation represents this model?

• y = 3x + 10

• y = 10x + 3

• y = 13x

• y = 10x - 3

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

• y = 15x - 25

• 15x + 25y = 100

• 25x + y = 15

• y = 15x + 25

The 7 inch candle burns at a rate of 2 inches an hour. Which equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns?

• y = 2x + 7

• y = 2 - 7x

• y = 7 - 2x

• y = 7x + 2

What does the y-intercept represent in an equation?

• slope

• rate of chance

• initial value

• x - intercept

A yoga class in a fitness center charges a $200 registration fee plus $12 per lesson. Write an equation to determine the amount of money a person will spend (y) for any number of lessons (x).

• y = 200x + 12

• x = 200 + 12y

• y = 12x + 200

• y = 212x