During a clothing store's Bargain Days, the regular price for T-shirt 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?
I pretty sure this was a question to a test
It wasn’t
C is 11.02 with tax and is 10.50 without tax
B is r - 5 + 5% after the discount = p
A is r - 5 = discount before tax
I’m pretty sure
A) The expression that shows the regular price (r) of a T-shirt minus the $5 discount can be written as:
Regular Price - Discount = r - $5
B) 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 described in steps:
1. Calculate the price after the discount is applied: p1 = r - $5
2. Calculate the sales tax amount: tax = p1 * 0.05
3. Add the sales tax to the price after the discount: p2 = p1 + tax
This will give us the final price (p) with the discount applied and sales tax added.
So, the rule for the function p(r) is:
p(r) = (r - $5) + ((r - $5) * 0.05)
C) To calculate how much you would pay during Bargain Days for a shirt regularly priced at $15.50, substitute the value of r with $15.50 in the rule for the function p(r):
p(15.50) = (15.50 - $5) + ((15.50 - $5) * 0.05)
p(15.50) = $10.50 + ($10.50 * 0.05)
p(15.50) = $10.50 + $0.525
p(15.50) = $11.025
So, during Bargain Days, you would pay $11.025 or rounded to $11.03 for a shirt regularly priced at $15.50.