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.
$54
$3.62
$50
$82
Riley needs to earn enough money to cover the cost of the jacket plus the sales tax.
The sales tax is 7.25% of the cost of the jacket.
To find the sales tax amount, we can set up a proportion:
7.25/100 = x/49.99
Cross-multiplying, we get:
(7.25)(49.99) = 100x
356.1375 = 100x
Dividing both sides by 100, we get:
x = 3.561375
So the sales tax amount is approximately $3.56.
To find the total amount Riley needs to earn, we add the cost of the jacket and the sales tax:
49.99 + 3.56 = $53.55
Rounded to the nearest dollar, Riley needs to earn $54. Therefore, the correct answer is $54.