The following table shows the tuition for a semester at CBU in dollars for years since 1990.

Year	CBU Tuition
0	3430
2	3995
4	4650
6	5350
8	6200
10	6965
12	7895
14	8855
16	9780
18	11040
20	12160
22	13350

A scatter plot for the data and a graph of a linear model in black and a quadratic model in red follows.

Use the above scatter plot to decide which model better fits the data.

Let $\displaystyle {C}{\left({t}\right)}$ be the cost of tuition at CBU in dollars for t years since 1990.
A  quadratic  model for the data is
$\displaystyle {C}{\left({t}\right)}$  = Preview Question 6 Part 2 of 4   .
Use three decimals in your answer.

Estimate the tuition in 2016. $

Use the model to predict the year in which the tuition will be $14175.