The table below shows the average amount of time spent per person on entertainment per year from 2000 to 2005. Year Hours
2000 3492
2001 3540
2002 3606
2003 3663
2004 3757
2005 3809

(a) Use a graphing calculator or spreadsheet program to find a quadratic model that best fits this data. Let t represent the year, with t=0 in 2000. Round each coefficient to two decimal places.

Pt =

(b) Based on this model, how many hours would you expect the average person to spend on entertainment in 2012? Round your answer to the nearest whole number.

hours

(c) When would you expect the average amount of entertainment time to reach 4000? Give your answer as a calendar year (ex: 1997).

During the year