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

$50
$50

$82
$82

$54

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%, you can follow these steps:

1. Calculate the sales tax amount: \[ \text{Sales Tax} = \text{Price of Jacket} \times \text{Sales Tax Rate} \] \[ \text{Sales Tax} = 49.99 \times 0.0725 \approx 3.62 \]

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

3. Finally, round to the nearest dollar: \[ \text{Total Cost Rounded} \approx 54 \]

Therefore, Riley needs to earn approximately $54 to purchase the jacket.

So the answer is: $54.