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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.

AWrite an expression that shows the regular price r of a T-shirt minus the $5 discount.

BWrite 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.

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

Verified Answer :

frenchtoast
Ad = r - 5 where t is the full price 
b) p = ( r - 5 ) 1.05 
c) p = (15.5-5)1.05 = 10.5 * 1.05 = $ 11.02

Answer:

A:

Let the regular price of the t shirt be = r

Let the total cost of the t shirt be = t

So, we can say : \(t=r-5\)

B:

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

C:

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

Substituting r = 15.50

\(p(r)=1.05(15.50-5)\)

=> \(p(r)=1.05(10.50)\)

= $11.025

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