(a) Explanation Given information: An economy’s consumer price index CPI is given by, I ( t ) = − 0.2 t 3 + 3 t 2 + 100 Here, 0 ≤ t ≤ 11 and t = 0 corresponds to 2003. Calculation: The rate of change of CPI is the derivative of the function I ( t ) = − 0.2 t 3 + 3 t 2 + 100 . Differentiate the function I ( t ) with respect to t , I ′ ( t ) = d d t ( − 0.2 t 3 + 3 t 2 + 100 ) = d d t ( − 0.2 t 3 ) + d d t 3 t 2 + d d t 100 ( d d x [ f ( x ) ± g ( x ) ] = d d x [ f ( x ) ] ± d d x [ g ( x ) ] ) = − 0.2 d d t t 3 + 3 d d t t 2 + 0 ( d d x [ c f ( x ) ] = c d d x [ f ( x ) ] ) = − 0.2 ( 3 t 3 − 1 ) + 3 ( 2 t 2 − 1 ) ( d d x ( x ) n = n x n − 1 ) Simplify it further. I ′ ( t ) = − 0 (b) To determine The average rate of increase in CPI over the period from 2008 to 2013.

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ISBN: 9781337825597

Author: Tan

Publisher: INTER CENG

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Chapter 3.1, Problem 63E

(a)

To determine

The rate of change of CPI in 2008, 2010, and 2013.

(b)

To determine

The average rate of increase in CPI over the period from 2008 to 2013.

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Chapter 3.1, Problem 62E

Chapter 3.1, Problem 64E

Chapter 3 Solutions

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Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - Prob. 3CQ Ch. 3.1 - Prob. 4CQ Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E

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The rate of change of CPI in 2008, 2010, and 2013.

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The rate of change of CPI in 2008, 2010, and 2013.

The average rate of increase in CPI over the period from 2008 to 2013.

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