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. (1 point)
$54
$3,62
O $50
The amount of money Riley needs to earn is the price of the jacket plus the sales tax.
To find the sales tax, we can set up a proportion using the sales tax rate as a ratio.
7.25/100 = x/49.99
Cross multiply to find x:
100 * x = 7.25 * 49.99
x = (7.25 * 49.99) / 100
x ≈ 3.6242375
Rounding to the nearest dollar, Riley needs to earn $4 in sales tax.
Adding this to the price of the jacket:
$49.99 + $4 = $53.99
So, he needs to earn $54 to purchase the jacket.
Therefore, the answer is $54.
To solve this problem using proportional relationships, we need to consider the relationship between the jacket's price and the sales tax.
The state sales tax is 7.25% of the jacket's price. This means that Riley needs to earn 100% (the full price of the jacket) plus 7.25% (the sales tax) of the jacket's price.
To calculate the amount of money Riley needs to earn, we can use the following equation:
Total amount needed = Jacket's price + Jacket's price * Sales tax rate
In this case, the jacket's price is $49.99 and the sales tax rate is 7.25% or 0.0725.
Total amount needed = $49.99 + $49.99 * 0.0725
Total amount needed = $49.99 + $3.624775
Total amount needed ≈ $53.614775
Rounding this amount to the nearest dollar, the answer is $54.
Therefore, the correct answer is O $54.
To solve this problem using proportional relationships, we can set up a proportion between the amount of money Riley needs to earn and the price of the jacket.
Let's let x represent the amount of money Riley needs to earn.
We know that the price of the jacket is $49.99, and the state sales tax is 7.25%.
The state sales tax can be expressed as a decimal by dividing it by 100, so we have 7.25/100 = 0.0725.
The total cost of the jacket, including the sales tax, is given by x + (0.0725 * x) = $49.99.
Simplifying the equation, we have 1.0725 * x = $49.99.
Dividing both sides of the equation by 1.0725, we get x = $46.64 (rounded to the nearest cent).
Since we were asked to round to the nearest dollar, the amount of money Riley needs to earn is $47.
Therefore, the correct answer is option O: $50.