Question

solve percent problems with proportions quick check
use proportional relationships to solve the following problem. riley needs to earn enough money to purchase a new jacket. the one he likes best is $49.99. his state sales tax is 7.25%. how much money does he need to earn? round to the nearest dollar. (1 point)
$3.62
$82
$54
$50

Explanation:

Step 1: Calculate the sales tax amount

The sales tax rate is \( 7.25\% \), which can be written as \( 0.0725 \) in decimal form. The price of the jacket is \( \$49.99 \). To find the tax amount, we multiply the price by the tax rate:
\( \text{Tax} = 49.99 \times 0.0725 \)
\( \text{Tax} \approx 49.99 \times 0.0725 \approx 3.624275 \)

Step 2: Calculate the total amount needed

The total amount Riley needs to earn is the price of the jacket plus the tax amount:
\( \text{Total} = 49.99 + 3.624275 \)
\( \text{Total} \approx 53.614275 \)

Step 3: Round to the nearest dollar

Rounding \( 53.614275 \) to the nearest dollar gives \( 54 \) (since the decimal part \( 0.614275 \) is greater than or equal to \( 0.5 \), we round up the whole number part).

Answer:

\(\$54\) (corresponding to the option "C. \$54" if we assume the options are labeled A, B, C, D with A: \$3.62, B: \$82, C: \$54, D: \$50)