You are choosing between two plans at a discount warehouse. Plan A offers an annual membership of $125

125 and you pay 30

30% of the manufacturer's recommended list price. Plan B offers an annual membership fee of $110

110 and you pay 40

40% of the manufacturer'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)equals

=

nothing

(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)equals

=

nothing

(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 merchandiseequals

=$

nothing

(Simplify your answer.)

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

nothing

. (Simplify your answer.)