# College Algebra

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The value of the expression (4220 + 0.25 (x - 30,650) is the 2006 federal income tax for a single taxpayer with taxable income of x dollars, where x is over \$30,650 but not over \$74,200. Simplify the expression; Find the amount of tax for a single taxpayer with taxable income of \$40,000. Who pays more, a married couple with a joint taxable income of \$80,000 or two single taxpayers with taxable income of \$40,000 each?

• College Algebra - ,

Find the amount of tax for a single taxpayer with taxable income of \$40,000.

Let x = 40,000 in the expression and simplify.

4420 + 0.25 (40,000 - 30,650)

4420 + 0.25(9350)

4420 + 2337.5 = \$6757.5...assuming that you placed your parentheses correctly in the expression above.

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The question tells us that "...x is over \$30,650 but not over \$74,200.
So, the expresison given cannot be applied to the married couple because their taxable income is over \$74.200.

For two single taxpayers with taxable income of \$40,000, we just found out that one single taxpayer will be taxed
\$6757.5 and so, if you multiply \$6757.5 times 2 you will a total tax of
\$13,515.

I would say that since \$80,000 does not apply to the given formula, two single taxpayers whose taxable income is \$40,000 will pay less than a married couple or a single person whose taxable income is greater than \$74,200.

I hope this helps.