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? $\newline$ $1-0.25 p$ $\newline$ $(1-0.25) p$ $\newline$ $1-0.25$ $\newline$ $p-0.25$

Full solution

Q. 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?

\newline

1-0.25 p

\newline

(1-0.25) p

\newline

1-0.25

\newline

p-0.25

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. $\newline$ Calculation: Discount amount $=$ Original price $*$ Discount rate $\newline$ Since the discount rate is $25\%$ , we express this as a decimal by dividing by $100$ : $25\% = \frac{25}{100} = 0.25$
Calculate Final Price: Now we calculate the discount amount using the original price $p$ and the discount rate $0.25$ . $\newline$ Calculation: Discount amount = $p \times 0.25$
Simplify Expression for Final Price: To find the final price after the discount, we subtract the discount amount from the original price. $\newline$ Calculation: Final price = Original price - Discount amount $\newline$ Substitute the discount amount we found in the previous step: Final price = $p - (p \times 0.25)$
Simplify Expression for Final Price: To find the final price after the discount, we subtract the discount amount from the original price. $\newline$ Calculation: Final price = Original price - Discount amount $\newline$ Substitute the discount amount we found in the previous step: Final price = $p - (p \times 0.25)$ We can simplify the expression for the final price by factoring out $p$ . $\newline$ Calculation: Final price = $p(1 - 0.25)$ $\newline$ This gives us the expression for the price after the discount but before tax.