To solve the problem using proportional relationships, we can set up the following equation:
49.99 = 100% + 7.25%
To find the total cost including sales tax, we need to add the sales tax percentage to the original price:
Total cost = 49.99 + (49.99 * 7.25%) = 49.99 + (49.99 * 0.0725)
Calculating the expression in the parentheses:
49.99 * 0.0725 = 3.624775
Round to the nearest cent:
3.624775 ≈ 3.62
Adding the rounded tax amount to the original price:
49.99 + 3.62 = 53.61
Therefore, Riley needs to earn approximately $53.61 to purchase the new jacket.