Question 1087075

In 2004, in-state tuition at Stanford was $6,092. In 2013, in-state tuition was $9,992. If the cost of in-state tuition C is a linear function of time t, where t represents the number of years since 2004, write the linear function C(t).
<pre>With t being time in 2004 (year 0), and tuition in 2004 being $6,092, we get the point: (0, 6,092).  
With t being time (from 2004 to 2013), and tuition in 2013 being $9,992, we get the point: (9, 9,992).
m, or slope = {{{matrix(1,5, "6,092 - 9,992"/(0 - 9), "=====>", - "3,900"/(- 9), "=====>", "1,300"/3)}}}
{{{y - y[1] = m(x - x[1])}}} 
{{{y - "6,092" = ("1,300"/3)(x - 0)}}} <====== Applying the POINT-SLOPE form, substituting {{{matrix(1,11, "6,092", for, y[1], ",", "1,300"/3, for, "m,", and, 0, for, x[1])}}} 
{{{y = ("1,300"/3)x + "6,092"}}} 
{{{highlight_green(matrix(1,3, C(t), "=", ("1,300"/3)t + "6,092"))}}} ------- Substituting C(t) for y, and t for x