# algebra 2

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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 -

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?