Use proportional relationships to solve the following problem. Riley needs to earn enough money to purchase a new jacket. The one he likes the 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 can set up a proportional relationship equation.
Let x represent the amount of money he needs to earn.
The amount of money he needs to earn is directly proportional to the price of the jacket.
The proportion is: x/49.99 = 1/1
Cross multiplying gives: x = 49.99
Since the state sales tax is 7.25%, we need to add it to the cost of the jacket.
The amount of money he needs to earn is directly proportional to the state sales tax.
The proportion is: 7.25/100 = (49.99 + x)/49.99
Cross multiplying gives: 724.75 = 4999 + x
Subtracting 4999 from both sides gives: x = 724.75 - 4999
Simplifying gives: x = -4274.25
Since we cannot have negative money, Riley needs to earn $4,275 to purchase the jacket.