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?
Answers
GPT-4o mini
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 \( 0.95p \).
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 \( 0.95p \).