Question

During an end-of-summer sale, a clothing store is offering a 40% discount off the regular price of any dress in the store. Which two expressions represent the sale price of a dress that had a regular price of d dollars

Answer 1

The two expressions 0.60×d and d×(1−0.40) both represent the sale price of a dress with a regular price of d dollars during the end-of-summer sale.

The sale price of a dress during the end-of-summer sale can be determined using the regular price (d dollars) and the 40% discount. To calculate the discounted price, we can use the formula:

• Discounted Price=Regular Price−(Discount Percentage×Regular Price)

For this scenario, the discount percentage is 40%, so the formula becomes:

Sale Price=d−(0.40×d)

Now, to simplify the expression, we can factor out the common factor of d from the right side of the equation:

Sale Price=d×(1−0.40)

Simplifying the expression inside the parentheses:

Sale Price=d×0.60

Therefore, the sale price of a dress with a regular price of d dollars during the end-of-summer sale can be represented by the expression 0.60×d.

Additionally, another way to express the sale price is by subtracting the 40% discount directly from the regular price:

Sale Price=d−0.40×d

This can be further simplified by factoring out the common factor of d:

Sale Price=d×(1−0.40)