Linear Equations Context

A babysitter’s earnings e are a function of the number of hours n worked at a rate of $7.25 per hour.

• e = 7.25-n

• e = 7.25n

• e = $\frac{n}{7.25}$

The price p of an ice cream is $3.95 plus $0.85 for each topping t on the ice cream.

• p = 0.85t - 3.95

• p = 0.85t + 3.95

• p = 3.95t + 0.85

A football team averages 4.5 yards/play. They start a drive on their own 20 yard line. Write a function that tells how far d from their own goal line they will be as a function of plays p.

• d= 4.5p - 20

• p=4.5d + 20

• p= 4.5d - 20

• d= 4.5p + 20

Bob has $150 in his savings account and saves $40 per month.

• y=150 + 40

• y=40x + 150

• y=150x + 40

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15
• C = 15h + 2
• h = 15C + 2
• C = 2h + 15

 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 20x + 5
• y = 5x +20

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping
• The cost will decrease by $1.40 per topping
• The cost will increase by $1.90 per topping
• The cost will decrease by $1.90 per topping 

If Dexter pays $8.90 for his hamburger, how many toppings did he get?

• 3
• 4
• 5
• 6

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.

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 = 25.5 + 8.5x
• y = 8.5 + 25.5x