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. the answer is (1.06)(.7x) = .742x

B) using a composition of functions represent the situation in which the sales tax is applied before the discount is taken.the answer is (1.06x)(.7) = .742x

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.

i don't understand c can you help?

Plug a value for x (price of the suit) in each equation and then solve each equation.

This way you can see if one results in a lower price.

Explain why or why not, one equation results in a lower price.

it dosnt give me a price for the suite so i shuld make one up?

yes, make one up

Certainly! Let's compare the composite functions from parts A and B.

In part A, the discount of 30% is applied first. The suit price is multiplied by 0.7, representing a 30% reduction. Then, the sales tax of 6% is added by multiplying the discounted price by 1.06. So, the composite function in part A is (1.06)(0.7x) = 0.742x.

In part B, the sales tax of 6% is applied first. The suit price is multiplied by 1.06, which includes the sales tax. Then, the discount of 30% is applied by multiplying the increased price by 0.7. So, the composite function in part B is (1.06x)(0.7) = 0.742x.

You will notice that both composite functions result in the same expression, 0.742x. This means that regardless of whether the discounts are taken before or after the sales tax, the final cost is the same.

The reason for this is that multiplication is commutative, which means the order of multiplication doesn't affect the result. In this case, multiplying the discount and then adding the sales tax gives the same result as adding the sales tax and then multiplying the discount.

Therefore, both composite functions give the same final cost, and there is no difference in the final price whether the discount is applied before or after the sales tax.