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An economy's consumer price index (CPI) is described by the function I ( t ) = -0.2 t 3+ 3 t 2+ 100(0 t 10)

An economy's consumer price index (CPI) is described by the function

I(t) = -0.2t3+ 3t2+ 100(0 t 10)

wheret= 0corresponds to2001.The units of the function are in points or pts.

  1. What was the average rate of increase in CPI over the period from 2001 to 2006?
  2. What is the derivative?
  3. At what rate was the CPI changing in 2005? In 2009? In 2011?

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