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)

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.