You are choosing between two plans at a discount warehouse. Plan A offers an annual membership of $90 and you pay 40%

of the manufacturer's recommended list price. Plan B offers an annual membership fee of $40 and you pay 60% of themanufacturer's list price.

a. Express the total yearly amount paid to the warehouse under plan A, f, as a function of the dollars of merchandise purchased during the year, x.

f(x)=

(Use integers or decimals for any numbers in the expression.)

b. Express the total yearly amount paid to the warehouse under plan B, g, as a function of the dollars of merchandise purchased during the year, x.

g(x)=

(Use integers or decimals for any numbers in the expression.)

c. How many dollars of merchandise would you have to purchase in a year to pay the same amount under both plans? What will be the total yearly amount paid to the warehouse for each plan?

Dollars of

merchandise=$

(Simplify your answer.)

The total yearly amount paid to the warehouse for each plan is

$.

(Simplify your answer.)