Federal Income Taxes and Piecewise Functions MC The

Last updated: 3/16/2023

Federal Income Taxes and Piecewise Functions MC The piecewise function represents the amount of taxes owed f x as a function of the taxable income x Use the marginal tax rate chart or the piecewise function to answer the questions Tax Bracket Marginal Tax Rate 0 10 275 10 10 276 41 175 12 41 176 89 075 22 89 076 170 050 24 170 051 215 950 32 215 951 539 900 35 37 539 901 0 10x x 10 275 10 276 x 41 175 41 176 x 89 075 89 076 x 170 050 0 32x 9 070 32 170 051 x 215 950 0 35x 26 187 32 215 951 x 539 900 0 37x 36 985 67 x2 539 901 0 12x 205 50 0 22x 4 323 00 f x 0 24x 6 105 50 Part A Using the method of your choice demonstrate how to calculate the amount of taxes owed on a taxable income of 31 000 Show all work 4 points 1 Part B Using the taxes owed from part A determine the effective tax rate Show all work 4 points Part C Compare the piecewise function to the marginal tax rate chart How is the marginal tax rate chart represented in the piecewise function 2 points