Question

Emma has a coupon for 25% off a single purchase at a store. If the item she buy costs e dollars, then the amount she will be charged is represented by the expression e - 0.25e. Which of the following is equivalent to this expression?

A) 0.25e
B) 0.75e
C) 1.25e
D) 1.75e

Answer 1

The equivalent expression to e - 0.25e for the discounted price is 0.75e, representing 75% of the original price after a 25% discount.

Step-by-step explanation:

The expression e - 0.25e represents the amount Emma will be charged after applying a 25% discount to an item with an original cost of e dollars. To simplify the expression, we combine like terms by subtracting 0.25e from e, which results in 0.75e. Therefore, the equivalent expression for the amount Emma will be charged is 0.75e, indicating she will pay 75% of the original price after the discount.

As an example, Emily bought a jacket for $85, and the calculation for the sales tax on this jacket is similar. If the sales tax is 7.5%, you can find the total cost by first converting the percent to a decimal (0.075) and then multiplying it by the price ($85), resulting in $6.38 of sales tax. Adding this to the original price gives the total cost.