The median home price in the United States over the period January 2010-January 2015 can be approximated by

P(t) = 4.5t²15t+ 180 thousand dollars (0t5),

wheretis time in years since the start of 2010.FindP'(t) andP'(2).

P'(t)=

6

P'(2)=

3

thousand dollars per year

What does the second answer tell you about home prices? HINT [See Example 2.]

The median price of a home was increasing at a rate of $ per year in .