Use proportional relationship to solve the following problem. Riley needs to earn enough money to purchase a new jacket. The one he likes is $49.99 his state sales tax is 7.25%. How much money does he need to round the nearest dollar

Answer 1

To calculate how much money Riley needs to earn to purchase the jacket, including sales tax, we can use a proportional relationship.

First, we'll calculate the total cost of the jacket including sales tax. The steps are as follows:

1. Calculate the sales tax amount: \[ \text{Sales Tax} = \text{Price of Jacket} \times \text{Sales Tax Rate} \] Here, the price of the jacket is $49.99 and the sales tax rate is 7.25% (or 0.0725 when expressed as a decimal).

   \[ \text{Sales Tax} = 49.99 \times 0.0725 \approx 3.623775 \]

2. Calculate the total cost: \[ \text{Total Cost} = \text{Price of Jacket} + \text{Sales Tax} \] \[ \text{Total Cost} = 49.99 + 3.623775 \approx 53.613775 \]

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

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