A car dealership advertises a 15% discount on all its new cars. In addition, the

Question

A car dealership advertises a 15% discount on all its new cars. In addition, the manufacturer offers a $1250 rebate on the purchase of a new car. Let x represent the sticker price of the car. (a) Suppose only the 15% discount applies. Find a function f that models the purchase price of the car as a function of the sticker price x. x) 187.5r (b) Suppose only the $1250 rebate applies. Find a function g that models the purchase price of the car as a function of the sticker price x. g(x) 1250* (c) Find a formula for H fo g. H(x) (o) Find H-1. (Report coeficents to three decimal places.) H-1x)- What does H-1 represent? O H-1 represents the rebate sticker price of the original price. O H-1 represents the new sticker price of the original price. O H-1 represents the original sticker price for a given discounted price O H-1 represents the total price after both discounts are applied. O H-1 represents the discount sticker price of the original price. (e) Find H-(13,250). (Round your answer to the nearest whole number.) H-1(13,250)-

Explanation / Answer

f(x) = x - .15 x

a) f(x) = 0.85x

b) g(X) = x - 1250

c) H(x) = 0.85 ( x - 1250 )

H(x) = 0.85x - 1062.5

d) y = 0.85x - 1062.5

x = 0.85y - 1062.5

x + 1062.5 = 0.85y

y = ( x + 1062.5 ) / 0.85

h^-1 (x) = 1.176 x + 1250

e) h^-1 (13250) = 1.176 (13250) + 1250

= 16832

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