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Kevin went shopping for a new video game because of a sale. The store was offering a 
15% discount. If the price on the tag was 
p, which expression represents the price after the discount but before tax?

0.985 p

0.85 p

15 p

0.15 p

Kevin went shopping for a new video game because of a sale. The store was offering a 15% 15 \% discount. If the price on the tag was p p , which expression represents the price after the discount but before tax?\newline0.985p 0.985 p \newline0.85p 0.85 p \newline15p 15 p \newline0.15p 0.15 p

Full solution

Q. Kevin went shopping for a new video game because of a sale. The store was offering a 15% 15 \% discount. If the price on the tag was p p , which expression represents the price after the discount but before tax?\newline0.985p 0.985 p \newline0.85p 0.85 p \newline15p 15 p \newline0.15p 0.15 p
  1. Understand the problem: Understand the problem.\newlineWe need to find the expression that represents the price of the video game after a 15%15\% discount is applied to the original price pp.
  2. Calculate discount amount: Calculate the discount amount.\newlineTo find the discount amount, we multiply the original price by the discount percentage.\newlineDiscount amount = p×15%=p×0.15p \times 15\% = p \times 0.15
  3. Calculate price after discount: Calculate the price after the discount.\newlineTo find the price after the discount, we subtract the discount amount from the original price.\newlinePrice after discount = p(p×0.15)p - (p \times 0.15)
  4. Simplify the expression: Simplify the expression.\newlineWe can distribute the subtraction across the terms involving pp.\newlinePrice after discount = p0.15p=(10.15)p=0.85pp - 0.15p = (1 - 0.15)p = 0.85p

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