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 the state sales tax is $7.25% how much money does he need to earn round to the nearest dollar a $3.62 C $54 see $50 D $82

Answer 1

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

1. Calculate the sales tax: The sales tax rate is 7.25%, which can be expressed as a decimal by dividing by 100:
   \( 7.25% = 0.0725 \)

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

3. Calculate the total cost of the jacket: \[ \text{Total Cost} = \text{Price of Jacket} + \text{Sales Tax} \] \[ \text{Total Cost} = 49.99 + 3.62 \approx 53.61 \]

4. Round to the nearest dollar: Rounding 53.61 to the nearest dollar gives us 54.

Thus, Riley needs to earn approximately $54 to purchase the jacket after including sales tax.

The correct answer is C. $54.