Use proportional relationships to solve the following problem. Rylie needs to earn enough money to purchase a new jacket. The one he likes best is for 999. 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 Rylie needs to earn, we can set up a proportion using the sales tax rate as a proportionality constant. Let's call the amount of money Rylie needs to earn "x".
The equation we can set up is:
x / 100 = 999 / (100 + 7.25)
To solve for x, we will cross-multiply and solve for x:
x * (100 + 7.25) = 999 * 100
x * 107.25 = 99900
x = 99900 / 107.25
x ≈ 930.16
Rylie needs to earn approximately $930.16 to purchase the new jacket, rounded to the nearest dollar.