(b) Use the algebraic method to develop a formula for the derivative of the rounded model. c'(t) =         per year (c) Evaluate the rate of change of the function in part (a) for the year 2008. (Round your answer to two decimal places.) Interpret the result. In 2008, the CPI for college tuition and fees was  ---Select--- increasing decreasing by  per year. (d) Calculate the percentage rate of change in the CPI in 2008. (Round your answer to three decimal places.)  % Interpret the result. In 2008, the CPI for college tuition and fees was  ---Select--- increasing decreasing by  % per year.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The CPI (for all urban consumers) for college tuition and fees between 2000 and 2008 for a country is given below.

Tuition CPI
Year CPI, c
2000 327.9
2001 363.9
2002 377.4
2003 432.5
2004 462.2
2005 490.8
2006 537.2
2007 562.2
2008 586.8
(a) Find the function for the linear model that gives the CPI (for all urban consumers) for college tuition and fees, where t is the number of years after 2000, with data from 
0 ≤ t ≤ 8.
 Round the coefficients of the equation to two decimal places.
c(t) = 
323.36+33.99t
 
 


(b) Use the algebraic method to develop a formula for the derivative of the rounded model.
c'(t) = 
 
 
 
 per year

(c) Evaluate the rate of change of the function in part (a) for the year 2008. (Round your answer to two decimal places.)


Interpret the result.
In 2008, the CPI for college tuition and fees was  ---Select--- increasing decreasing by  per year.

(d) Calculate the percentage rate of change in the CPI in 2008. (Round your answer to three decimal places.)
 %

Interpret the result.
In 2008, the CPI for college tuition and fees was  ---Select--- increasing decreasing by  % per year.
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