In 1991, Social Security and Medicare taxes were itemized separately on paycheck stubs and tax forms for the first time. The table on the right gives a historical look at Social Security and Medicare taxes.
a. Find the maximum a person could contribute to Social Security and Medicare in 1993. b. If f(x) represents the Social Security tax, and x represents income, express the 2002 Social Security tax as a piecewise function.

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Maximumm Taxable Income for Social Maximum Taxable Income for Social Year Security (%) Security (5) Medicare (%) Medicare (5) 1991| 6.2% 1992| 6.2% 1993 6.2% 1994| 6.2% 1995| 6.2% 1996| 6.2% 1997| 6.2% 1998| 6.2% 1999| 6.2% 2000| 6.2% 2001| 6.2% 2002| 6.2% 2003| 6.2% 2004| 6.2% 2005| 6.2% 2006| 6.2% 2007 | 6.2% 2008| 6.2% 2009| 6.2% 53,400 55,500 57,600 60,600 61,200 62,700 65,400 68,400 72,600 76,200 80,400 84,900 87,900 87,900 90,000 94,200 97,500 102,000 106,800 1.45% 1.45% | 130,200 1.45% 1.45% | All income 1.45% 1.45% 1.45% | All income 1.45% | All income 1.45% | All income 1.45% | All income 1.45% | All income 1.45% | All income 1.45% | All income 1.45% | All income 1.45% | All income 1.45% | All income 1.45% | All income 1.45% | All income 1.45% | All income 125,000 135,000 All income All income