Some countries implement income taxes on a progressive scale. Meaning, part of your income can be taxed at one rate and part of your income can be taxed at a different rate. Write a piecewise function that represents the following tax scale. Income: Tax Rate: 0 - $50,000 27% $50.001 - $100.000 $13,500 plus 35% for the income over $50,000 $100.001 and over $31.000 plus 45% for the income over $100,000 Write a piecewise function that represents the situation above.​