Question

question 7 of 8, step 1 of 1
two people dined at the la fiesta mexican grill where the food cost was $33.87. to that, a tax of $4.31 was added. what is the percentage of this tax? round your answer to the nearest tenth of a percent.
answer

Explanation:

Step1: Recall the tax percentage formula

The formula to find the percentage of tax \( p \) is \( p=\frac{\text{Tax Amount}}{\text{Food Cost}}\times100 \). Here, the tax amount is \(\$4.31\) and the food cost is \(\$33.87\).

Step2: Substitute the values into the formula

Substitute the given values into the formula: \( p = \frac{4.31}{33.87}\times100 \). First, calculate \(\frac{4.31}{33.87}\approx0.12725\). Then multiply by 100: \( 0.12725\times100 = 12.725 \).

Step3: Round to the nearest tenth of a percent

Rounding \( 12.725 \) to the nearest tenth of a percent (one decimal place), we look at the hundredth place. The digit in the hundredth place is 2, which is less than 5, so we keep the tenths place as it is. So \( p\approx12.7 \).

Answer:

\( 12.7 \)