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?

1 answer

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 \( 0.95p \).