A department store has marked down its merchandise by 25%. It later decreases by $5 the price of items that have not sold. a) Write a function f (x) to represent the price after the 25% markdown. b) Write a function g(x) to represent the price after the $5 markdown. c) Use a composition function to find the price of a $95 item after both price adjustments. d) Does the order in which the adjustments are applied make a difference? Explain.

I have some ideas, but I need help for this one!

Question

A department store has marked down its merchandise by 25%. It later decreases by $5 the price of items that have not sold. a) Write a function f (x) to represent the price after the 25% markdown. b) Write a function g(x) to represent the price after the $5 markdown. c) Use a composition function to find the price of a $95 item after both price adjustments. d) Does the order in which the adjustments are applied make a difference? Explain. 

I have some ideas, but I need help for this one!

mandywestside · Answer

@johnweldon1993 Help! (Thanks for the help on the other question!)

mandywestside · Answer

@Preetha @sleepyjess

memyselfandpi · Answer

Ok :)

memyselfandpi · Answer

So the first function is for a 75% markdown, which is .25

memyselfandpi · Answer

so f(x) = .25x is the first function

memyselfandpi · Answer

@MandyWestSide

memyselfandpi · Answer

The second function is subtracting 5 after the markdown, right?

memyselfandpi · Answer

So it would be f(x) = .25x - 5

memyselfandpi · Answer

c: plug in 95..
d: it does matter because if the 5$ is subtracted before the markdown, it will be 25% of x - 5, not .25x - 5..

stacey · Answer

The way I understand it is f(x) represents the price after the item is reduced by 25%.
f(x) = x - 0.25x
f(x) = 0.75x
where x is the original price.

mandywestside · Answer

I already solved it, but thanks anyway.