Here is the 2011 Federal Tax Rate Schedule X that specifies the tax owed by a single taxpayer.
If Your Taxable Income Is Over | But Not Over | The Tax You Owe Is | Of the Amount Over |
$0 | $ 8500 | 10% | $0 |
$ 8500 | $ 34,500 | $ 850.00 + 15, | $ 8500 |
$ 34,500 | $ 83,600 | $ 4750.00 + 25, | $ 34,500 |
$ 83,600 | $174,400 | $ 17,025.00 + 28, | $ 83,600 |
$174,400 | $379,150 | $ 42,449.00 + 33, | $174,400 |
$379,150 | — | $110,016.50 + 35, | $379,150 |
The preceding tax table can be modeled by a piecewise function, where x represents the taxable income of a single taxpayer and T (x) is the tax owed:
Use this information to solve Exercises. refer to the preceding tax table.
Find the algebraic expression for the missing piece of T(x) that models tax owed for the domain (174,400, 379,150].
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