Question

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)
Responses

$82
$82

$3.62
$3.62

$50
$50

$54
$54
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Answer 1

To find out how much money Riley needs to earn for the jacket priced at $49.99 with a state sales tax of 7.25%, we first need to calculate the total cost of the jacket including tax.

1. Calculate the sales tax:
\[
\text{Sales tax} = \text{Price} \times \text{Tax rate} = 49.99 \times 0.0725
\]

\[
\text{Sales tax} \approx 3.62
\]

2. Add the sales tax to the original price to find the total cost:
\[
\text{Total cost} = \text{Price} + \text{Sales tax} = 49.99 + 3.62 \approx 53.61
\]

3. Round to the nearest dollar:
\[
\text{Total cost rounded} = 54
\]

Thus, Riley needs to earn **$54** to purchase the jacket with tax included.

The correct response is **$54**.