Hasan plans to choose a book from a section of the store where everything is 25%
off. He writes the expression d−0.25d
to find the sale price of the book if the original price is d
dollars.
Bella correctly writes another expression, 0.75d
, that will also find the sale price of the book if the original price is d
dollars.
Use the drop-down menus to explain what each part of Hasan's and Bella's expressions mean.
Hasan's expression:
- d represents the original price of the book in dollars.
- 0.25d represents the discount amount, calculated by multiplying the original price by 0.25 (25% as a decimal).
- d - 0.25d represents the sale price, obtained by subtracting the discount amount from the original price.
Bella's expression:
- d represents the original price of the book in dollars.
- 0.75d represents the discounted price, calculated by multiplying the original price by 0.75 (100% - 25% as a decimal).
- 0.75d gives directly the sale price of the book.
Hasan's expression: d − 0.25d
Explanation:
- d represents the original price of the book in dollars.
- 0.25d represents the amount of discount Hasan gets, which is 25% of the original price (d). This is because 0.25 is equivalent to 25%.
- Subtracting 0.25d from d gives us the sale price of the book, after applying the 25% discount.
Bella's expression: 0.75d
Explanation:
- d represents the original price of the book in dollars.
- 0.75d represents the sale price of the book after applying a 25% discount. This is because 0.75 is equivalent to 1 - 0.25, which means she is subtracting the 25% discount from the original price (d).
Hasan's expression "d - 0.25d" can be broken down as follows:
- "d" represents the original price of the book in dollars.
- "0.25d" represents 25% of the original price, which is the discount amount that Hasan would get.
- Subtracting "0.25d" from "d" gives the final sale price of the book after applying the 25% discount.
Bella's expression "0.75d" can be broken down as follows:
- "d" still represents the original price of the book in dollars.
- "0.75" represents 75% of the original price, which is the amount Bella would have to pay after the 25% discount is applied.
- Multiplying "0.75" by "d" gives the final sale price of the book after applying the 25% discount.