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

Let p= the regular price of a t-shirt in dollars. Let s= the sales price of a t-shirt in dollars. Let r= the sales tax rate as decimal.

So you have

Part A:
\[s=p-5.00\]

Part B;
\[p(r)=(p-5.00)(r+1)\]

Part C:

\[p(r)=(15.50-5.00)(1+.05)\] Which gives us $15.75

Answer 2

thanks(: