Question

During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $5. There is a state sales tax of 5%, and the $5 discount is applied before the sales tax is calculated.

a. Write an expression that shows the regular price r of a T-shirt minus the $5 discount.

b. Write a rule for the function p(r) that expresses the final price p of a T-shirt with the discount applied and sales tax added.

c. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?

Answer 1

a) d = r - 5 where t is the full price
b) p = ( r - 5 ) * 1.05
c) p = (15.5-5)*1.05 = 10.5 * 1.05 = $ 11.02

Answer 2

A:

Let the regular price of the t shirt be = r

Let the total cost of the t shirt be = t

So, we can say :
`t=r-5`

B:

`p(r)=1.05(r-5)`

C:

`p(r)=1.05(r-5)`

Substituting r = 15.50

`p(r)=1.05(15.50-5)`

=>
`p(r)=1.05(10.50)`

= $11.025