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)

Question

Responses

$3.62
$3.62

$82
$82

$50
$50

$54 .

Answer 1

To calculate how much money Riley needs to earn to purchase the jacket, we need to include the sales tax.

1. First, we convert the sales tax percentage into a decimal: \[ 7.25% = \frac{7.25}{100} = 0.0725 \]

2. Next, we calculate the total cost of the jacket including tax: \[ \text{Total Cost} = \text{Price of Jacket} + \text{Sales Tax} \] \[ \text{Sales Tax} = \text{Price of Jacket} \times \text{Sales Tax Rate} = 49.99 \times 0.0725 \]

   Calculating the sales tax: \[ 49.99 \times 0.0725 \approx 3.62 \]

3. Now, we add the sales tax to the original price of the jacket to get the total cost: \[ \text{Total Cost} = 49.99 + 3.62 \approx 53.61 \]

4. Finally, since we need to round to the nearest dollar: \[ \text{Total Cost rounded} \approx 54 \]

Thus, Riley needs to earn $54 to purchase the jacket.