In 1990, the cost of tuition at a large Midwestern university was $100 per credit hour. In 2004, tuition had risen to $268 per credit hour.

Question

Determine a linear function �(�) to represent the cost of tuition as a function of �, the number of years since 1990.
In the year 2011, tuition will be $  per credit hour.
In the year , tuition will be $424 per credit hour

Answer 1

Tuition = T= 100+ 168y/14

168/14 = 84/7= 12

T = 100+ (12)y where y = number of years after 1990

y=2004-1990= 14 years

T=100+ (12)(14) =100+168 = $268

T =100+(12)y

2011-1990 = 21=y is another 7 years, another 7(12) = $84 dollars more in 2011 than in 2004

424=100+(12)y

y = 324/12= 21years

268+84 = $352

14+7 = 21 years

T =100 +12(21) = 100+252= $352 in 2011

424=100+12y

y=324/12= 27

1990+27= 2017