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 and 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?

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 and 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?

shamil98 · Answer

A. , just the discount applied to the regular price so
r-5
B.
p(r) = (r-5) + 0.05(r-5) 
C. Evaluate it with the given formula
p(15.5) = (15.5 - 5) + 0.05(15.5-5)

shamil98 · Answer

To explain B better..
5% of something is just 0.05 of that something
0.05(x)
for this equation you are asked for x - 5
so it becomes
0.05(x-5)

stormoshawty · Answer

God, thank you so much, Lol. What would i do without you? xD

shamil98 · Answer

lol, you're welcome

shamil98 · Answer

p(15.5) = (15.5 - 5) + 0.05(15.5-5)
p(15.5) = 10.5 + 0.05(10.5)
p(15.5) = 10.5 + 0.0525
= 10.5525
= 10 dollars and 55 cents