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.

a) 0.2*18000 + 0.38*(31300-18000)

=3600+5054=

answer = 8654

b) 0.2*18000 + 0.38*36000+0.49*17900

3600+13680+8771

answer=26051

c) f(x) ={ 0.20xif x 18000

3600 + 0.38(x-18000)........if 18000 x 54000

3600+13680+0.49(x-54000)........if x 54000

------theA part is correct and well done but the other two parts are incorrect and need revision for full credit---the c part is correct up to the third piece namely 3600+13680+0.49(x-54000)........if x 54000

which is incorrect---- CAN SOME ONE PLEASE HELP ME WITH THIS PROBLEM