Linear equations word problem

Question

A community center offers a 1-day craft show where people can rent booths to sell their hand-made goods.the community center charges $85 and an additional $15 per booth a person rents.

(a) create an equation that would give the total cost to the rent "x" number of booths at the community center's craft show.

(b) Amber makes and sells candles and rented several booths at the community center. her total charge came to $130. how many booths did she rent?

Answer 1

The equation is

a) Cost = 15x + 85

b) 130 = 15x + 85

130 - 85 = 15x

15x = 45

x = 3 booths

Answer 2

a)

Let y be the total charge.

y = 15x+85 for x >0, otherwise, y = 0.

b) 130 = 15x+85

15x = 45

x=45/15 = 3 booths