Chapter 2.2, Problem 73E

State income tax. Table $5$ shows state income tax rates for married couples filing a joint return in Louisiana.

(A) Write a piecewise definition for $T\left(x\right)$, the tax due on a taxable income of $x$ dollars.

(B) Graph $T\left(x\right)$.

(C) Find the tax due on a taxable income of $\text{\$55,000}$. Of $\text{\$110,000}$.