Question

emily went shopping for a new pair of pants. sales tax where she lives is 5.25%. if the price of the pair of pants is p dollars and cents, which expression does not represent the total price plus tax?

answer

○ p + 0.0525p ○ 1p + 0.0525p
○ (1 + 0.0525)p ○ p + 0.0525

Explanation:

Step1: Understand the total price formula

The total price including tax is the original price \( p \) plus the tax amount. The tax amount is \( 5.25\% \) of \( p \), which is \( 0.0525p \). So the total price should be \( p + 0.0525p \).

Step2: Simplify the correct expressions

• For \( p + 0.0525p \), it's the original price plus tax, correct.
• \( 1p + 0.0525p \) is the same as \( p + 0.0525p \) (since \( 1p = p \)), correct.
• \( (1 + 0.0525)p \) is factoring out \( p \) from \( p + 0.0525p \), which simplifies to \( 1.0525p \), correct.

Step3: Analyze the incorrect expression

The expression \( p + 0.0525 \) is adding a constant \( 0.0525 \) to \( p \), not \( 0.0525p \) (which is 5.25% of \( p \)). So this does not represent the total price plus tax.

Answer:

\( p + 0.0525 \)