Question

A dress that costs x dollars is on sale for 25% off. Which expressions represent the sale price, in dollars, of the dress?

A. 0.25x
B. 0.75x
C. 1.25x
D. x(1-0.25)
E. x-0.25
F. x-0.75x

Answer 1

The expression that represents the sale price, in dollars, of the dress is x(1-0.25). This expression represents the original price of the dress, x dollars, multiplied by 1 minus the discount of 25%.

Step-by-step explanation:

The expression that represents the sale price, in dollars, of the dress is D. x(1-0.25). This expression represents the original price of the dress, x dollars, multiplied by 1 minus the discount of 25%. Let's go through the steps to understand why this expression is the correct one:

1. The discount of 25% means that the dress is priced at 100% - 25% = 75% of the original price.
2. To find the sale price, we need to multiply the original price by 75%, which is equivalent to multiplying by 0.75 since 75% is the same as 0.75 as a decimal.
3. Therefore, the sale price of the dress is x * 0.75 = x(1-0.25) dollars.