Problem

Here is the 2011 Federal Tax Rate Schedule X that specifies the tax owed by a single taxpa...

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.

Find and interpret T(50,000).

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