Let's determine the correct way to compute the tax Sue owes based on her taxable income of \[tex]$30,000 using the provided tax table.
First, notice that her income falls into two tax brackets:
1. The first portion of her income from \$[/tex]0 to \[tex]$9,875 is taxed at 10%.
2. The remaining portion of her income from \$[/tex]9,876 to \[tex]$30,000 is taxed at 12%.
We need to calculate the tax for each portion separately and then sum them up.
1. Tax for the first slab (\( \$[/tex]0 - \[tex]$9,875 \)):
\[
10\% \times 9,875 = 0.10 \times 9,875 = 987.5
\]
2. Tax for the second slab (\( \$[/tex]9,876 - \[tex]$30,000 \)):
\[
12\% \times (30,000 - 9,875) = 0.12 \times (30,000 - 9,875) = 0.12 \times 20,125 = 2,415.0
\]
Now, we sum the tax amounts from both slabs to get the total tax:
\[
987.5 + 2,415.0 = 3,402.5
\]
Given this step-by-step process, the correct calculations fit option C:
\[
10 \% \times \$[/tex] 9,875 + 12 \% \times(\[tex]$ 30,000 - \$[/tex] 9,875)
\]
So, the correct answer is:
C. [tex]$10 \% \times \$[/tex] 9,875 + 12 \% \times(\[tex]$ 30,000-\$[/tex] 9,875)$
