9. kelly had a part - time job last year. she paid the state $234 in income tax. the state income tax rate…

9. kelly had a part - time job last year. she paid the state $234 in income tax. the state income tax rate is 5.2%. how much did kelly earn?

9. kelly had a part - time job last year. she paid the state $234 in income tax. the state income tax rate is 5.2%. how much did kelly earn?

Answer

Explanation:

Step1: Set up the proportion

Let $x$ be Kelly's earnings. We know that the tax amount is a percentage of her earnings. So, $5.2%$ of $x$ is $234$, which can be written as the equation $0.052x = 234$.

Step2: Solve for $x$

Divide both sides of the equation by $0.052$. So, $x=\frac{234}{0.052}$. $x = 4500$.

Answer:

$4500$