( "Piecewise-Defined Functions" for a starting point.)

Income tax in a particular country is calculated according to the following rate schedule:

20% on the first $18,000 of income

38% on the next $36,000 of income

49% on any further income

a. How much income tax should be paid by someone making $31,300?

b. How much income tax should be paid by someone making $71,900?

c. Construct a piecewise function that gives the tax for $x of income.

please show work