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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.
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?
The rule for the function p(r) that expresses the final price p of a T-shirt with the discount applied and sales tax added can be written as:
p(r) = (r - 5) * (1 + 0.05)
where r is the regular price of the T-shirt.
To calculate the final price for a shirt regularly priced at $15.50 during Bargain Days, we substitute r = 15.50 into the function:
p(15.50) = (15.50 - 5) * (1 + 0.05)
= 10.50 * 1.05
= $11.025
Therefore, you would pay $11.025 for a shirt regularly priced at $15.50 during Bargain Days.