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Kaylee went shopping for a new phone because of a sale. The store was offering a 
25% discount. If the price on the tag was 
p, which expression represents the price after the discount but before tax?

1-0.25 p

(1-0.25)p

1-0.25

p-0.25

Kaylee went shopping for a new phone because of a sale. The store was offering a 25% 25 \% discount. If the price on the tag was p p , which expression represents the price after the discount but before tax?\newline10.25p 1-0.25 p \newline(10.25)p (1-0.25) p \newline10.25 1-0.25 \newlinep0.25 p-0.25

Full solution

Q. Kaylee went shopping for a new phone because of a sale. The store was offering a 25% 25 \% discount. If the price on the tag was p p , which expression represents the price after the discount but before tax?\newline10.25p 1-0.25 p \newline(10.25)p (1-0.25) p \newline10.25 1-0.25 \newlinep0.25 p-0.25
  1. Calculate Discount Amount: To find the price after a discount, we need to subtract the discount amount from the original price. The discount amount can be found by multiplying the original price by the discount rate.\newlineCalculation: Discount amount == Original price * Discount rate\newlineSince the discount rate is 25%25\%, we express this as a decimal by dividing by 100100: 25%=25100=0.2525\% = \frac{25}{100} = 0.25
  2. Calculate Final Price: Now we calculate the discount amount using the original price pp and the discount rate 0.250.25.\newlineCalculation: Discount amount = p×0.25p \times 0.25
  3. Simplify Expression for Final Price: To find the final price after the discount, we subtract the discount amount from the original price.\newlineCalculation: Final price = Original price - Discount amount\newlineSubstitute the discount amount we found in the previous step: Final price = p(p×0.25)p - (p \times 0.25)
  4. Simplify Expression for Final Price: To find the final price after the discount, we subtract the discount amount from the original price.\newlineCalculation: Final price = Original price - Discount amount\newlineSubstitute the discount amount we found in the previous step: Final price = p(p×0.25)p - (p \times 0.25)We can simplify the expression for the final price by factoring out pp.\newlineCalculation: Final price = p(10.25)p(1 - 0.25)\newlineThis gives us the expression for the price after the discount but before tax.

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