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The median home price in Canada over the period January 2010 to January 2015 can be approximated by LaTeX: Pleft(t ight)=4.5t^2-15t+180: P ( t )

The median home price in Canada over the period January 2010 to January 2015 can be approximated by LaTeX: P\left(t ight)=4.5t^2-15t+180\:

P ( t ) = 4.5 t 2 15 t + 180 thousand dollars, where LaTeX: tt is time in years since the start of 2010.

a) Find the average rate of change of the median home price from the start of 2012 to the start of 2014.

b) Based on your answer from part (a), what can you say about the median home price in 2013? Explain why.

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