Sophia found an awesome deal on a new backpack when she went back-to-school shopping. The backpack originally cost b dollars, but it was on sale for 75% off.

Question

Pick all the expressions that represent the sale price of the backpack.

Answer 1

To find the sale price of the backpack that originally costs \( b \) dollars and is on sale for 75% off, we first calculate how much is taken off the original price.

1. Calculate the discount: The discount amount for 75% off can be calculated as: \[ 0.75b \]

2. Determine the sale price: To find the sale price, subtract the discount from the original price: \[ \text{Sale Price} = b - 0.75b \]

3. Simplify the sale price: \[ \text{Sale Price} = 1b - 0.75b = 0.25b \]

Therefore, the sale price of the backpack can be represented by the expression \( 0.25b \).

Consequently, the correct expression(s) that represent the sale price of the backpack is:

• \( 0.25b \)