Will give brainliest pls its ! during a clothing stores 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 for 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 withe the discount applied and sales tax added. c. how much would you pay during bargain days for a shirt regularly priced at $15.50?

Answers:

a. Write an expression that shows the regular price r for a t-shirt minus the $5 discount

Expression=r-$5

b. Write a rule for the function p(r) that expresses the final price p of a t-shirt with the with the discount applied and sales tax added.

p(r)=1.05(r-$5)

c. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?

You would pay $11.03 during Bargain Days for a shirt regularly priced at $15.50.

Solution:

a. Write an expression that shows the regular price r for a t-shirt minus the $5 discount.

Regular price: r

Discount: $5

Expression=r-$5

b. Write a rule for the function p(r) that expresses the final price p of a t-shirt with the with the discount applied and sales tax added.

Final price: p(r)

There is a state sales tax of 5%, and The $5 discount is applied before the sales tax is calculated:

p(r)=Expression+Sales tax

State sales tax=5%=5/100→State sales tax=0.05

Sales tax=State sales tax * Expression

Sales tax=0.05*Expression

p(r)=Expression+0.05*Expression

p(r)=(1+0.05)*Expression

p(r)=1.05*Expression

Expression=r-$5

p(r)=1.05(r-$5)

c. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?

r=$15.50→p(r)=p($15.50)

p($15.50)=1.05($15.50-$5)

p($15.50)=1.05($10.50)

p($15.50)=$11.025

p($15.50)=$11.03

You would pay $11.03 during Bargain Days for a shirt regularly priced at $15.50.