Use proportional relationships to solve the following problem. Riley needs to eam enough money to purchase a new jacket. The one he free best is $49.99. His slate sales tax is 7.25%. How much money does he need to ear? Round to the nearest dollar. (1 point) O $54 550
O $3.62
To find out how much money Riley needs to earn, we can use a proportional relationship.
Since the jacket is $49.99, we need to add the sales tax to this amount.
7.25% of $49.99 = 0.0725 * 49.99 ≈ $3.62
Therefore, Riley needs to earn $49.99 + $3.62 = $53.61
Rounding to the nearest dollar, Riley needs to earn $54.
To calculate the amount of money Riley needs to earn, you need to consider the jacket price and the sales tax.
First, you'll need to find the sales tax amount. To do this, multiply the jacket price by the sales tax rate (7.25% or 0.0725).
Tax amount = Jacket price x Sales tax rate
Tax amount = $49.99 x 0.0725
Next, calculate the total amount Riley needs to earn by adding the jacket price and the tax amount.
Total amount = Jacket price + Tax amount
Total amount = $49.99 + (Tax amount)
Finally, round the total amount to the nearest dollar.
Therefore, Riley needs to earn approximately $54.
To solve this problem using proportional relationships, we can set up a proportion between the price of the jacket and the total amount of money Riley needs to earn.
Let x represent the amount of money Riley needs to earn.
Since the sales tax is 7.25%, we can calculate it as 7.25/100 = 0.0725.
Based on the information given, the total amount of money Riley needs to earn can be calculated using the following proportion:
49.99 / (1 + 0.0725) = x / 1
Now, let's solve for x:
49.99 / (1 + 0.0725) = x
49.99 / 1.0725 = x
x ≈ 46.62
Rounding this value to the nearest dollar, Riley needs to earn approximately $47.
Therefore, the correct answer is O $47.