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	324.9
2001	359.9
2002	387.4
2003	425.5
2004	470.2
2005	490.8
2006	517.2
2007	563.2
2008	591.8

(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) =

(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 2007. (Round your answer to two decimal places.) Interpret the result.In 2007, 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 2007. (Round your answer to three decimal places.) % Interpret the result.

In 2007, the CPI for college tuition and fees was ---Select--- increasing decreasing by % per year.