(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.
(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.
Chapter4: Linear Functions
Section4.3: Fitting Linear Models To Data
Problem 23SE: The US. import of wine (in hectoliters) for several years is given in Table 5. Determine whether the...
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Question
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
(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 2008. (Round your answer to two decimal places.)
Interpret the result.
(d) Calculate the percentage rate of change in the CPI in 2008. (Round your answer to three decimal places.)
%
Interpret the result.
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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