Question

A company analyzed its stock price for the period 2002 to 2010 and modeled the price as a polynomial given by p(t) = t3 – 12t2 + 32t + 50, where p is the stock price (in dollars) and t is the number of years passed since January 1, 2002. In which period will the stock price be lower than $50?Select one of the options below as your answer: A. January 1, 2002 to December 31, 2004 B. January 1, 2004 to December 31, 2004 C. January 1, 2005 to December 31, 2006 D. January 1, 2006 to December 31, 2009

Answer 1

The answer is D. January 1, 2006 to December 31, 2009 is 5 years, hence t = 5. Plugging it in gives you t = 35$