Question

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.



CLEAR CHECK

Hasan's Expression: d−0.25d



d:



0.25:



0.25d:



d−0.25d:



Bella's Expression: 0.75d



0.75:



d:



0.75d:

Answer 1

Hasan's expression d-0.25d subtracts a 25% discount from the original price of a book (d), while Bella's expression 0.75d calculates the sale price by applying a 25% discount to the original price directly. Both expressions ultimately produce the same sale price.

Step-by-step explanation:

Hasan and Bella are trying to calculate the sale price of a book with an original price represented by the variable d (dollar amount). Hasan's expression, d-0.25d, starts with the original price d and subtracts 25% of that price (0.25d), which is the discount amount. This gives the final sale price after the discount.

Bella's expression, 0.75d, directly represents the final sale price of the book because she multiplies the original price d by 75%, which is the remaining percentage of the price after a 25% discount.

To summarize the parts of the expressions:

d: The original price of the book in dollars.

0.25: The discount rate (25%).

0.25d: The amount of the discount (25% of the original price) that needs to be subtracted to find the sale price.

d-0.25d: Represents the original price minus the discount.

0.75: The remaining percentage of the price after the discount (100% - 25%).

0.75d: The sale price, calculated as 75% of the original price.