Tuition CPI The CPI (for all urban consumers) for college tuition and fees between 2...

Tuition CPI The CPI (for all urban consumers) for college tuition and fees between 2000 and 2008 is given below.

a. Find a model for the CPI with input aligned to t = 0 in 2000. Round the coefficients of the equation to two decimal places.

b. Use the algebraic method to develop a formula for the derivative of the rounded model.

c. Evaluate the rate of change of the function in part a for the year 2005. Interpret the result.

d. Calculate the percentage rate of change in the CPI in 2005. Interpret the result.