# The following table shows the average yearly tuition and required fees, in thousand ofdollars, charged by a certain private

The following table shows the average yearly tuition and required fees, in thousand of dollars, charged by a certain private university in the school year beginning in the given year.
$\begin{array}{|cc|}\hline \text{Year}& \text{Average tuition}\\ 2005& 17.6\\ 2007& 18.1\\ 2009& 19.5\\ 2011& 20.7\\ 2013& 21.8\\ \hline\end{array}$
What prediction does the formula modeling this data give for average yearly tuition and required fees for the university for the academic year beginning in 2019?

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lamusesamuset
Let the starting year be 2000. So, the table will be,
$\begin{array}{|cc|}\hline x& y\\ 5& 17.6\\ 7& 18.1\\ 9& 19.5\\ 11& 20.7\\ 13& 21.8\\ \hline\end{array}$
Substitute the values of a and b to find the equation.
$y=0.55x+14.59$
Substitute x as 19 to find the average yearly tution in 2019.
$y=0.55\left(19\right)+14.59$
$=10.45+14.59$
$=25.04$
Multiply by 1000 to represent the required fees.
$25.04×1000=\mathrm{}25,040$
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