College

Select the amount of income tax due for a single person with a taxable income of [tex] \$57,620 [/tex] from the table below.

\[
\begin{array}{|c|c|c|}
\hline
\text{At least} & \text{But less than} & \text{Single} \\
\hline
57,600 & 57,650 & 10,145 \\
57,650 & 57,700 & 10,158 \\
57,700 & 57,750 & 10,170 \\
\hline
\end{array}
\]

Based on the table, the income tax due is [tex] \$10,145 [/tex].

Answer :

We start by noting that a single filer with a taxable income of \[tex]$57,620 must have the tax amount corresponding to the bracket in which the income falls.

The table shows ranges of taxable income. Each range is in the form
$[/tex][tex]$
[\text{lower bound},\, \text{upper bound}),
$[/tex][tex]$
meaning that the taxable income is at least the lower bound but less than the upper bound.

Looking at the table, we focus on the single filer column with these successive intervals. We have the following row in the table:

- For incomes from \$[/tex]57,600 to \[tex]$57,650 the tax due is \$[/tex]10,145.

Since \[tex]$57,620 satisfies
$[/tex][tex]$
57,600 \le 57,620 < 57,650,
$[/tex][tex]$
it falls in the bracket with lower bound \$[/tex]57,600 and upper bound \[tex]$57,650.

Thus, the tax amount due for a single person with a taxable income of \$[/tex]57,620 is
[tex]$$
\boxed{10145}.
$$[/tex]