A boutique prices merchandise by adding 80% to its cost. It later decreases by 25% the price of items that do not sell quickly

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14-02-2017
Mathematics

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A boutique prices merchandise by adding 80% to its cost. It later decreases by 25% the price of items that do not sell quickly

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a. Write a function f(x) to represent the price after the 80% markup.
b. Write a function g(x) to represent the price after the 25% markdown.
c. Use a composition function to find the price of an item after both price adjustments that originally costs the boutique $150.
d. Does the order in which the adjustments are applied make a difference? Explain.

answers

a) f(x) = 1.8x

b) f(x) = 0.75(1.8x)

c) f(150) = 0.75(1.8(150) = $202.50

d) No, it doesn't matter. The result is the same.