The piecewise function representing a progressive tax system is shown. T⁡(x)={0.05⁢xifx≤20,0001,000+0.1⁢(x−20,000)ifx>20,000 How much is the tax for an income of $⁢35,000 ?

Since $35,000 is greater than $20,000, use T(x) = 1,000 + 0.1(x − 20,000). Substituting gives $1,000 + 0.1($15,000) = $1,000 + $1,500 = $2,500. The tax is $2,500, choice C.

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