1. Aubrey 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.

Pick the expression that represents the sale price of the backpack.
*
3 points
75 + b
75b
75 ÷ b
b - 0.75b

1 answer

To find the sale price of the backpack, we need to calculate what 75% off the original price means. If the backpack originally costs \( b \) dollars, then a 75% discount means that you will pay 25% of the original price:

  1. Calculate the discount amount: \( 75% \) off means you keep \( 100% - 75% = 25% \).
  2. This means the sale price is \( 25% \) of \( b \), which is \( 0.25b \).

Alternatively, the discount can also be calculated as follows:

  • The sale price can be expressed as \( b - 0.75b \) which simplifies to \( 0.25b \).

Thus, the expression that represents the sale price of the backpack is:

b - 0.75b