The cost of college tuition for 12 credit hours at two local colleges during 2003 to 2008 is shown in the table below. Determine the model for the cost of Tuition in School B as a function of the number of years since 2003.
A) B(t) = 31 + 291 t
C) B(t) = 291 + 31 t
D) B(t) = 31 t

Question

The cost of college tuition for 12 credit hours at two local colleges during 2003 to 2008 is shown in the table below. Determine the model for the cost of Tuition in School B as a function of the number of years since 2003. 
A) B(t) = 31 + 291 t 
C) B(t) = 291 + 31 t 
D) B(t) = 31 t

Quizplus · Accepted Answer

Looking at the table, we see that the cost of tuition in School B increases by $291 each year (from $8,697 in 2003 to $9,168 in 2008). We can express this as a linear function in the form B(t) = mt + b, where t is the number of years since 2003. Since the base cost in 2003 is $8,697, we know that B(0) = $8,697, which means that b = $8,697. Therefore, the model for the cost of tuition in School B is B(t) = 291t + 8,697, which is equivalent to choice C.

The Cost of College Tuition for 12 Credit Hours at Two