The U.S. Federal income tax is a function of taxable income. Write T for the tax owed on a taxable income of I dollars. For tax year 2007, the function T for a single taxpayer was specified by the table below. If your taxable income was But not over- Over- $0 7,825 31,850 77,100 160,850 349,700 7,825 31,850 77,100 160,850 349,700 Your tax is 10% $782.50 +15% 4,386.25 + 25% 15,698.75 +28% 39,148.75 + 33% 101,469.25 + 35% of the amount over- $7,825 $0 $31,850 $77,100 $160,850 $349,700 What was the tax owed by a single taxpayer on a taxable income of $30,000? $ What was the tax owed by a single taxpayer on a taxable income of $95,000? $

Construct a piecewise tax function where the tax is 5 % on the first  $15,000 of income, then 12 % on any income over $15,000.

Student Loans Data for selected years from 2011and projected to 2023 can be used to show that thebalance of federal direct student loans y, in billions ofdollars, is related to the number of years after 2010,x, by the function y = 130.7x + 699.7.a. Graph the function for x-values corresponding2010 to 2025.b. Find the value of y when x is 13.c. What does this function predict the balance offederal direct student loans will be in 2029?(Source: U.S. Office of Management and Budget)

Which of the following tables are functions? Table A Table B Table C Input Output Input Output Input Output 12 15 10 22 8 8 15 20 38 9 -5 10 30 45 10 12 45 40 50 11 6.