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.
To find how much money Riley needs to earn including the state sales tax, we first need to calculate the sales tax amount. To do this, we multiply the jacket price by the sales tax rate as a decimal:
49.99 * 0.0725 = $3.624775
We then add this tax amount to the jacket price to find the total amount Riley needs to earn:
49.99 + 3.624775 = $53.614775
Rounding this to the nearest dollar gives us $54. Thus, Riley needs to earn $54 to purchase the new jacket.
To solve this problem using proportional relationships, we need to find the total amount including sales tax.
Let's start by calculating the sales tax amount. We know that the state sales tax rate is 7.25%. To find the sales tax amount, we can multiply the price of the jacket by the sales tax rate (7.25 / 100):
Sales tax amount = 49.99 * (7.25 / 100) = 3.624275
Next, we need to add the sales tax amount to the price of the jacket to find the total cost:
Total cost = Price of jacket + Sales tax amount = 49.99 + 3.624275 = 53.614275
Finally, we need to round the total cost to the nearest dollar. Since the decimal part is 0.614275, rounding it to the nearest dollar means rounding up since it is greater than 0.5:
Rounded total cost = Round up(53.614275) = 54
Therefore, Riley needs to earn $54 to purchase the jacket, including sales tax.
To determine how much money Riley needs to earn, we need to consider the cost of the jacket and the sales tax.
Step 1: Calculate the amount of sales tax:
$49.99 x 7.25% = $3.62 (rounded to two decimal places)
Step 2: Add the sales tax to the cost of the jacket to find the total cost:
$49.99 + $3.62 = $53.61 (rounded to two decimal places)
Therefore, Riley needs to earn $54 (rounded to the nearest dollar).