SOLUTION: 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 num

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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).

Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
For the year 2004,
For the year 2013,
-------------------------------
Use the general point-slope formula


Multiply both sides by




-------------------------------
Check:
does it go through ( 9, 9992 ) ?




OK
does it go through ( 0, 6092 ) ?



OK

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

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).
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 =

<====== Applying the POINT-SLOPE form, substituting

------- Substituting C(t) for y, and t for x
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