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 out how much money Riley needs to earn, we need to add the sales tax to the cost of the jacket.
Step 1: Calculate the amount of sales tax Riley needs to pay.
Sales tax = cost of jacket × sales tax rate
Sales tax = $49.99 × 7.25% (7.25% = 0.0725 as a decimal)
Sales tax = $3.63
Step 2: Add the sales tax to the cost of the jacket to find out how much money Riley needs to earn.
Total cost = cost of jacket + sales tax
Total cost = $49.99 + $3.63
Total cost ≈ $53.62
Therefore, Riley needs to earn approximately $53.62 to purchase the jacket.
To find out how much money Riley needs to earn, we need to first determine the amount of state sales tax on the jacket. To do this, we can use a proportional relationship.
Let's set up the proportion:
7.25% (tax rate) / 100% (total) = x (tax amount) / $49.99 (jacket price)
To find the tax amount, we can cross multiply and solve for x:
(7.25/100) * $49.99 = x
0.0725 * $49.99 = x
$3.624275 = x
Rounded to the nearest cent, the tax amount is $3.62.
To find out how much money Riley needs to earn to cover the jacket and tax, we can simply add the jacket price and tax amount together:
$49.99 + $3.62 = $53.61
Rounded to the nearest dollar, Riley needs to earn approximately $54 to purchase the jacket.
To solve this problem using proportional relationships, we need to determine the total amount Riley needs to earn, including the sales tax.
First, we calculate the sales tax amount by multiplying the price of the jacket by the sales tax rate:
Sales tax = $49.99 x 7.25% = $3.62 (rounded to the nearest cent)
Next, we add the sales tax amount to the price of the jacket to find the total amount he needs to earn:
Total amount = $49.99 + $3.62 = $53.61 (rounded to the nearest cent)
Finally, rounding to the nearest dollar, Riley needs to earn approximately $54.