The following graph shows the approximate value of home prices and existing home sales as a percentage change from 2003, together with quadratic approximations, such that: Home prices: 40 Home prices and sales of existing homes Prices 30 20 10 0: -10 -20 -30 2006 Existing Home sales: Sales 2 2010 P(t)=12-101 +41 014 S(t) 1.52-111 014 where is time in years since the start of 2006. ds a) Determine (6 points) dP-2 b) Interpret contextually your findings in question a) above. (2 points)