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)
Responses
$54
$54
$50
$50
$82
$82
$3.62
To find out how much money Riley needs to earn, we can use a proportional relationship.
The state sales tax is 7.25%, which means Riley will need to pay an additional 7.25% of the price of the jacket as tax.
We can set up a proportion to solve for x, the amount of money Riley needs to earn:
49.99/100 = x/107.25
To solve for x, we can cross multiply:
107.25 * 49.99 = 100 * x
5367.4275 = 100 * x
Divide both sides by 100 to isolate x:
x = 5367.4275 / 100
x ≈ 53.67
Rounding to the nearest dollar, Riley needs to earn $54. Therefore, the correct answer is:
$54
To solve this problem using proportional relationships, we need to consider the relationship between the price of the jacket and the sales tax.
The state sales tax is 7.25%, which means Riley needs to pay an additional 7.25% of the jacket's price as tax.
To find the amount of tax, we can multiply the price of the jacket by the sales tax rate:
$49.99 * 0.0725 = $3.624775
Next, we need to determine the total amount of money Riley needs to earn, which is the sum of the jacket's price and the tax amount:
$49.99 + $3.624775 = $53.614775
Finally, we round the total amount to the nearest dollar, which gives us $54.
So the correct answer is $54.
To calculate the amount of money Riley needs to earn, we can use a proportional relationship with the sales tax.
First, we need to calculate the amount of sales tax to add to the jacket's price. We can do this by multiplying the price of the jacket by the sales tax rate:
$49.99 x 0.0725 = $3.62
Next, we add the sales tax to the price of the jacket:
$49.99 + $3.62 = $53.61
Rounding to the nearest dollar, Riley needs to earn $54.