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?
a. P(r) = (P - 5) + 0.05(P-5) = 1.05(P-5). P = regular price.
b. Pr = 1.05(P-5) = 1.05(15.50-5) = $11.03.
Plz explain
Yeah please explain, I'm not looking for the answer, I'm looking for an explanation.
where did the 1.05 come from
isn't it suppose to be 0.05 which is 5% as a decimal
Thnxss!
0.05 is used to calculate the specific percentage amount, as in “I need 25% of a pound” or 0.25
However, when trying to add a percentage to a value you use 1.xx to account for the whole variable amount. 10% = 1.10 as an example
So for the t-shirt example above, if we use 1.05 we are adding 5% to the discounted t-shirt amount NOT finding the cost of 5% of tax on it.
Hope it helps!
During a clothing store’s Bargain Days, the regular price for T-shirts is discounted to $8.25. You have an additional coupon for $5.00 off, regardless of how many shirts are purchased. Write a rule for the function p left parenthesis t right parenthesis that expresses the final price of t T-shirts with the discount applied.How much would you pay during Bargain Days for 11 shirts?
Pr=(RP-5)(1.05) RP is regular price.
Pr=(15.50-5)(1.05)=11.03