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?1−0.25p(1−0.25)p1−0.25p−0.25
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?1−0.25p(1−0.25)p1−0.25p−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.Calculation: Discount amount = Original price ∗ Discount rateSince the discount rate is 25%, we express this as a decimal by dividing by 100: 25%=10025=0.25
Calculate Final Price: Now we calculate the discount amount using the original price p and the discount rate 0.25.Calculation: Discount amount = p×0.25
Simplify Expression for Final Price: To find the final price after the discount, we subtract the discount amount from the original price.Calculation: Final price = Original price - Discount amountSubstitute the discount amount we found in the previous step: Final price = p−(p×0.25)
Simplify Expression for Final Price: To find the final price after the discount, we subtract the discount amount from the original price.Calculation: Final price = Original price - Discount amountSubstitute the discount amount we found in the previous step: Final price = p−(p×0.25)We can simplify the expression for the final price by factoring out p.Calculation: Final price = p(1−0.25)This gives us the expression for the price after the discount but before tax.
More problems from Find the percent: tax, discount, and more