\(\begin{array}{|c|c|} \hline x & y\\ \hline 5 & 17.6\\ \hline7 & 18.1\\\hline 9 & 19.5\\ \hline 11 & 20.7\\ \hline 13 & 21.8\\ \hline \end{array}\)

Substitute the values of a and b to find the equation.

\(\displaystyle{y}={0.55}{x}+{14.59}\)

Substitute x as 19 to find the average yearly tution in 2019.

\(\displaystyle{y}={0.55}{\left({19}\right)}+{14.59}\)

\(\displaystyle={10.45}+{14.59}\)

\(\displaystyle={25.04}\)

Multiply by 1000 to represent the required fees.

\(\displaystyle{25.04}\times{1000}=\${25},{040}\)