The median home price in the United States over the period January 2010–January 2015 can be approximated by P(t) = 4.5t2 − 15t + 180 thousand dollars (0 ≤ t ≤ 5), where t is time in years since the start of 2010.† Find P'(t) and P'(4). P'(t) = _______ P'(4) = ______ thousand dollars per year What does the second answer tell you about home prices?  The median price of a home was increasing at a rate of $ ___ per year in____

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.