(Federal Income Taxes and Piecewise Functions LC)

The piecewise function represents the amount of taxes owed, [tex]f(x)[/tex], as a function of the taxable income, [tex]x[/tex]. Use the marginal tax rate chart or the piecewise function to answer the question.

Marginal Tax Rate Chart

\begin{tabular}{|l|l|}
\hline
Tax Bracket & Marginal Tax Rate \\
\hline
\[tex]$0 - \$[/tex]10,275 & 10\% \\
\hline
\[tex]$10,276 - \$[/tex]41,175 & 12\% \\
\hline
\[tex]$41,176 - \$[/tex]89,075 & 22\% \\
\hline
\[tex]$89,076 - \$[/tex]170,050 & 24\% \\
\hline
\[tex]$170,051 - \$[/tex]215,950 & 32\% \\
\hline
\[tex]$215,951 - \$[/tex]539,900 & 35\% \\
\hline
\$539,901+ & 37\% \\
\hline
\end{tabular}

[tex]
f(x) = \left\{
\begin{array}{ll}
0.10x, & 0 \leq x \leq 10,275 \\
0.12x - 205.50, & 10,276 \leq x \leq 41,175 \\
0.22x - 4,323.00, & 41,176 \leq x \leq 89,075 \\
0.24x - 6,104.50, & 89,076 \leq x \leq 170,050 \\
0.32x - 19,708.50, & 170,051 \leq x \leq 215,950 \\
0.35x - 26,187.00, & 215,951 \leq x \leq 539,900 \\
0.37x - 36,985.00, & x \geq 539,901
\end{array}
\right.
[/tex]

Determine the amount of taxes owed on a taxable income of [tex]\$49,652[/tex].

A. \[tex]$4,735.38

B. \$[/tex]6,600.44

C. \[tex]$7,709.92

D. \$[/tex]10,293.44