Posted by **rachel** on Tuesday, November 16, 2010 at 3:49pm.

can you answer this question?

a store is offering a discount of 30% on a suit. There is a sales tax of 6%.

A) using a composition of function, represent this situatio in which the discount is taken before the sales tax is applied.

B) using a composition of functions represent the situation in which the sales tax is applied before the discount is taken.

C) compare the composite functions from parts a and b. does one of them result in a lower final cost? explain why or why not.

- algebra 2 -
**Reiny**, Tuesday, November 16, 2010 at 4:39pm
Suppose the selling price of the suit is $x

A)

after taking discount of 30%, the selling price of the suit is .7x

now final cost = (1.06)(.7x) = .742x

B) apply sales tax first

cost = 1.06x

now apply the discount ...

final price = (1.06x)(.7) = .742x

well, well, what do you kow?

not to be confused with

" I went to a restaurant and had a coupon of $25"

The waiter prepared my total bill including a 6% tax , then deducted the $25.

I argued the fact that he should have taken off the $25, then applied the sales tax.

The waiter replied that it wouldn't make any difference.

Who is right?

Can you see the difference between my question and your question?

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