The table lists the annual cost (in dollars) of tuition and fees at private four-year colleges for the selected years. Complete parts (a) and (b) below.
Year
2000 2002 2004 2006 2008 2010 2012 2013
Tuition and Fees 16,072 18,068 20,041 22,305 24,816 26,768 28,984 30,098
Do the data appear to lie roughly along a straight line?
OA. No, they seem to be scattered randomly.
B. No, they appear to lie in a V-shape.
OC. No, they appear to lie on a curved line.
D. Yes, they appear to lie on a straight line.
(b) Let $t=0$ correspond to the year 2000. Use the points $(0,16072)$ and $(13,30098)$ to determine a linear equation that models the data.
The linear equation is $C = \boxed{}$
(Type an expression using $t$ as the variable. Use integers or decimals for any numbers in the expression. Round to the nearest tenth as needed.)