Question

The percentage method of withholding for federal income tax​ (2003) states that a single person whose weekly​ wages, after subtracting withholding​ allowances, are over​ $592, but not over​ $1317, shall have​ $74.35 plus​ 25% of the excess over​ $592 withheld. Over what range does the amount withheld vary if the weekly​ wages, after subtracting withholding​ allowances, vary from $600 to $700 ​inclusive?

Answer 1

The range that the amount withheld vary if the weekly​ wages, after subtracting withholding​ allowances, vary from $600 to $700 ​inclusive is: 76.35<x<101.35.

Range

Given

592<x1317

74.35+.25

Hence:

Lowest range

74.35+.25(600-592)

74.35+.25(8)

74.35+2

=76.35

Highest range

74.35+.25(700-592)

74.35+.25(108)

74.35+27

=101.35

Range

76.35<x<101.35

Therefore the range that the amount withheld vary if the weekly​ wages, after subtracting withholding​ allowances, vary from $600 to $700 ​inclusive is: 76.35<x<101.35.

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