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 find out how much money Riley needs to earn in total, we first need to calculate the total cost of the jacket including the sales tax.

1. Calculate the sales tax on the jacket: \[ \text{Sales Tax} = \text{Price of Jacket} \times \text{Sales Tax Rate} \] \[ \text{Sales Tax} = 49.99 \times 0.0725 = 3.624775 \]

2. Round the sales tax to the nearest cent: \[ \text{Sales Tax} \approx 3.62 \]

3. Calculate the total cost by adding the sales tax to the price of the jacket: \[ \text{Total Cost} = \text{Price of Jacket} + \text{Sales Tax} \] \[ \text{Total Cost} = 49.99 + 3.62 = 53.61 \]

4. Round to the nearest dollar: \[ \text{Total Cost} \approx 54 \]

Therefore, Riley needs to earn $54.