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