0. During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $4. There is a state sales tax of 3.5%, and the $4 discount is applied before the sales tax is calculated. Write an expression that shows the regular price r of a T-shirt minus the $4 discount. 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. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?

Question

0. During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $4. There is a state sales tax of 3.5%, and the $4 discount is applied before the sales tax is calculated. Write an expression that shows the regular price r of a T-shirt minus the $4 discount. 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. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?

Answer 1

Let r be the regular price of a T-shirt.

The regular price minus the $4 discount is:
r - $4

To calculate the final price with the discount applied and sales tax added, we need to add the $4 discount first, then calculate the sales tax:
p(r) = (r - $4) + 0.035(r - $4)
p(r) = r - $4 + 0.035r - 0.035($4)
p(r) = r - $4 + 0.035r - $0.14
p(r) = 1.035r - $4.14

To find out how much would you pay during Bargain Days for a shirt regularly priced at $15.50:
p($15.50) = 1.035($15.50) - $4.14
p($15.50) = $16.03 - $4.14
p($15.50) = $11.89

Therefore, you would pay $11.89 for a shirt regularly priced at $15.50 during Bargain Days.