An appliance dealer advertises a 5% discount on all his washing machines. in add

Question

An appliance dealer advertises a 5% discount on all his washing machines. in addition, the manufacturer offers a $90 rebate on the purchase of a washing machine. Let x represent the sticker price of the washing machine. Suppose only the 5% discount applies. Fund a function f that models the purchase price of the washer as a function of the sticker price x Suppose only the $90 rebate applies. Find a function g that models the purchase price of the washer as a function of the sticker price x. Find g f. what do these functions represent? f g represents first applying the and then the represents first applying the and then the .Which is the better deal? f g g f both deals are equally good

Explanation / Answer

a) f(x) = x - 0.05x - 90 = 0.95x - 90

b) g(x) = x- 90

c) fog = f ( x-90 ) = 0.95 (x-90) - 90 = 0.95x - 85.5-50 = 0.95x - 135.5

gof = g(0.95x - 90) = 0.95x - 90- 90 = 0.95x - 180

gof is good deal

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