Question

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

$3.62
$3.62

$54
$54

$82
$82

$50

Answer 1

To find out how much money Riley needs to earn, we'll first calculate the total cost of the jacket including tax.

1. **Calculate the sales tax**:
\[
\text{Sales tax} = \text{Price of the jacket} \times \text{Sales tax rate}
\]
\[
\text{Sales tax} = 49.99 \times 0.0725 \approx 3.62
\]

2. **Calculate the total cost**:
\[
\text{Total cost} = \text{Price of the jacket} + \text{Sales tax}
\]
\[
\text{Total cost} = 49.99 + 3.62 \approx 53.61
\]

3. **Round to the nearest dollar**:
\[
\text{Total cost (rounded)} \approx 54
\]

Therefore, Riley needs to earn **$54** to purchase the jacket, including tax.

The answer is:
**$54**