Constructing Linear Functions

Pablo has $12. He earns $7 for every lawn he mows. Write an equation to find the amount of money "y" he will have after "x" number of lawns.

• y = 12x + 7

• y = 7x + 12

Elliot wants to sign up for a gym membership. The gym require a $35 fee to sign up, then $12 every month. Write an equation to find the amount Elliot will pay for his gym membership "y" after "x" amount of months.

• y = 35x + 12

• y = 12x + 35

• y = 12x - 35

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

• c = 2.75b + 4

• c = 2.75b

• c =  4b- 2.75

• c = 2.75b - 4

A restaurant’s goal is to serve 600 customers in 8 hours and 900 customers in 12 hours. Write an equation in slope-intercept form that represents the number of customers served per hour.

• y-600=75(x-8)

• y=75x

• y-900=75(x-12)

• y=-75x

Sonya has $40 in her lunch account and pays $2 each day to eat lunch.  Which equation can be used to find the amount of money Sonya has left on her account after x days?

• y = 40 + 2x

• y = 40 - 2x

• y = 2 + 40x

• y = 2 - 40x

The total cost (y) at Six Flags can be modeled by y=1.5x+20 where x is the number of rides you ride. Splash Down Dune's can be modeled by y = 2.4x + 15. Which has a greater entrance fee?

• Six Flags

• Splash Down Dunes

• They are the same

Before beginning voice lessons, Ryan already knew how to sing 7 pieces, and he expects to learn 2 new pieces during each week of lessons. Write an equation that shows the relationship between the number of weeks x and the number of pieces learned y.