Question

Jayden went shopping for a new phone because of a sale. The store was offering a 5% discount. If the price on the tag was pp, which expression represents the price after the discount but before tax?

Answer 1

To calculate the price after a 5% discount is applied to the original price \( p \), you can follow these steps:

1. **Calculate the amount of discount:** The discount amount can be calculated as 5% of \( p \), which is \( 0.05p \).

2. **Subtract the discount from the original price:** To find the price after the discount, you subtract the discount amount from the original price:
\[
p - 0.05p
\]

3. **Simplify the expression:** This can be simplified further:
\[
p - 0.05p = (1 - 0.05)p = 0.95p
\]

Thus, the expression that represents the price after the discount but before tax is \( 0.95p \).