In 1990, the cost of tuition at a large Midwestern university was $101 per credit hour. In 2001, tuition had risen to $266 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 2007, tuition will be $  per credit hour.
In the year , tuition will be $476 per credit hour

Answer 1

$101 in 1990

$266 in 2001, 11 years later

Cost of tuition per credit = C =101 + 166t/11 where t = number of years since 1990

C=101+ (166/11)t

in 2007, t=17 and C = 101+166(17)/11 = $357.55 per credit

C=476 = 101+ (166/11)t

166t/11 = 476-101= 375

t = 11(375)/166 = about 24.8

1990+24.8 = 2014.8

depending on what month of the year the tuition changes, it's about the year 2014 or more likely 2015

the cost increases 166/11 = about $15.09 per year

in 17 years the tuition cost = 101+15.09(17)= 357.55