MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Median Home Prices The median home price in a certain country over the period January 2010-January 2016 can be approximated by P(t) 3.5t2-14t+ 120 thousand dollars (0 st 6), = where t is time in years since the start of 2010. (a) Compute the average rate of change of P(t) over the interval [1, 6]. $ X thousand per year Interpret your answer. In this country, the median home price was growing at an average rate of about $ X thousand per year over the 5-year period beginning at the start of 2011. (b) Estimate the instantaneous rate of change of P(t) at t 1. (Round your answer to three decimal places.) $ x thousand per year Interpret your answer. In this country, the median home price was dropping at an instantaneous rate of about $ X thousand per year at the start of 2011.