Question

BarrApCalcir7 23063 The following graph shows the average annual college tuition costs (tuition and fees) for a year at a private nonprofit or public four-year college. The data are given for five-year intervals. 30,000 25,000 20,000 private 15,000 F 10,000 5000 public 2010-2011 The tuition for a private college is approximated by the function f(x) = 650x2 + 3000x+12,000, where x 2000-2001 2005-2006 Year years in the graph are numbered x 0 through x 3). (a) Use this function to predict tuition in the academic year 2020-21. [Hint: What x-value corresponds to that year?] the number of five-year intervals since the academic year 1995-96 (so the (b) Find the derivative of this function for the x-value that you used in part (a). Interpret it as a rate of change in the proper units. In 2020-2021, private college tuition will be-Select by S every 5 years. (c) From your answer to part (b), estimate how rapidly tuition will be increasing per year in 2020-21. Tuition (S) 1995-1996