Use proportional relationships to solve the following problem. Riley needs to warm amping money to purchase a new jacket. The one he likes best is $49.99. His state tax is 7.25%. How much money does he need to earn? Round to the nearest dollar.
Options:
$3.62
$50
$82
$54
To solve this problem using proportional relationships, we can set up the following equation:
49.99 + (49.99 * 0.0725) = x
49.99 represents the cost of the jacket. To find the total amount he needs to earn, we also need to add the amount of state tax, which is calculated by multiplying the cost of the jacket (49.99) by the tax rate (0.0725).
Calculating this equation, we get:
49.99 + (49.99 * 0.0725) = 54.014775
Rounded to the nearest dollar, Riley needs to earn $54 to buy the jacket.
Therefore, the answer is $54.
To solve this problem using proportional relationships, we need to determine the total amount of money Riley needs to earn, including the state tax.
First, we need to find the amount of tax Riley must pay on the jacket. To do this, we multiply the price of the jacket by the tax rate:
$49.99 x (7.25/100) = $3.624875
Rounding this amount to the nearest cent, we get $3.62.
Next, we add the tax amount to the price of the jacket to find the total amount Riley needs to earn:
$49.99 + $3.62 = $53.61
Rounding this amount to the nearest dollar, we get $54.
Therefore, Riley needs to earn $54 in order to purchase the jacket.
So, the correct answer is $54.
To solve this problem using proportional relationships, we need to find the amount of money that Riley needs to earn, including the state tax.
Step 1: Calculate the amount of state tax on the jacket.
State tax = 7.25% of $49.99
State tax = (7.25/100) * $49.99
State tax = $3.624275
Step 2: Add the state tax to the price of the jacket to find the total amount of money that Riley needs to earn.
Total amount = $49.99 + $3.624275
Total amount = $53.614275
Step 3: Round the total amount to the nearest dollar.
Rounded total amount = $54
Therefore, Riley needs to earn $54 in order to purchase the new jacket. The correct option is $54.