linear equation rate of change

Question

In 1990, the cost of tuition at a large Midwestern university was $103 per credit hour. In 2004, tuition had risen to $313 per credit hour.

 

Determine a linear function C(x) to represent the cost of tuition as a function of x, the number of years since 1990.

 

C (x)=_______

 

In the year 2012, tuition will be _____ per credit hour

 

In the year _____________tuition will be $583 per credit hour

Answer 1

C(x) = 103 + 15(x-1990)

 

C(2012) = 103 + 15(2012 - 1990 [22]) = 330

 

In the year 2012, tuition will be $330 per credit hour

 

583 = 103 + 15(X-1990)

 

583 - 103 = 15(X-1990)

 

480 = 15 (X -1990)

 

480 / 15 = X - 1990

 

X = 1990 + 32

 

X = 2022

 

In the Year 2022 tuition will be $583 per credit hour assuming a linear progression