Please help me to solve this.

Question

At a particular gas station gas costs $3.35 per gallon, but if you buy a $4.50 car wash gas only costs $3.05 per gallon. Let C represent cost and g represent the number of gallons.

a). Write an equation for the cost C, of purchasing gallons g, without the car wash.

b). Write an equation for the cost C, of purchasing gallons g with the car wash.

c). At how many gallons will you break even? Show work, table, graph, etc.

d). When is it cheaper to buy the carwash? Use a complete sentence and show work.

Answer 1

C = 3.35g

C = 4.5 + 3.05g

set the two equations equal and solve for g

3.35g = 4.5 +3.05g

3.35g - 3.05 g = 4.5

(3.35 - 3.05)g = 4.5

.3g = 4.5

g = 4.5/.3 = 45/3 = 15 gallons to break even

the car wash is cheaper if you buy more than 15 gallons.

Answer 2

a. C = 3.35g

b. C = 3.05g + 4.5

c. 3,35g = 3.05g + 4.5 Solve for g.