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

The model for the cost of Tuition in School B as a function of the number of years since 2003 can be determined by finding the slope of the line that best fits the data. Using a linear regression calculator, we find that the slope of the line is $291 per year. This means that the cost of tuition at School B increases by $291 per year. The y-intercept of the line (the cost of tuition in 2003) is $291. Therefore, the model for the cost of tuition at School B as a function of the number of years since 2003 is B(t) = 291 + 31t, where t is the number of years since 2003.

The Cost of College Tuition for 12 Credit Hours at Two