Question

Tuition The table lists the annual cost (in dollars) of tuition and fees at private four-year colleges for selected years. (See Example $13 .$ Source: The College Board. $$\begin{array}{ll}{\text { Year }} & {\text { Tuition and Fees }} \\ {2000} & {16,072} \\ {2002} & {18,060}\\{2004} & {20,045} \\ {2006} & {22,308} \\ {2008} & {24,818} \\ {2010} & {26,766} \\ {2012} & {28,989} \\ {2013} & {30,094}\end{array}$$ (a) Sketch a graph of the data. Do the data appear to lie roughly along a straight line? (b) Let $t=0$ correspond to the year $2000 .$ Use the points $(0,16,072)$ and $(13,30,094)$ to determine a linear equation that models the data. What does the slope of the graph of the equation indicate? (c) Discuss the accuracy of using this equation to estimate the cost of private college in $2025 .$

          Tuition The table lists the annual cost (in dollars) of tuition and fees at private four-year colleges for selected years. (See Example $13 .$ Source: The College Board.
$$\begin{array}{ll}{\text { Year }} & {\text { Tuition and Fees }} \\ {2000} & {16,072} \\ {2002} & {18,060}\\{2004} & {20,045} \\ {2006} & {22,308} \\ {2008} & {24,818} \\ {2010} & {26,766} \\ {2012} & {28,989} \\ {2013} & {30,094}\end{array}$$
(a) Sketch a graph of the data. Do the data appear to lie roughly along a straight line?
(b) Let $t=0$ correspond to the year $2000 .$ Use the points $(0,16,072)$ and $(13,30,094)$ to determine a linear equation that models the data. What does the slope of the graph of the equation indicate?
(c) Discuss the accuracy of using this equation to estimate the cost of private college in $2025 .$

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