Answer
The mean number of termites collected in $1999$ is approximately $23247$.
Work Step by Step
$1999-1989=10$ years, so $t=10$.
$ y=738e^{0.345t}\qquad$...Substitute $10$ for $t$ in the given function
$ y=738e^{0.345\cdot 10}\qquad$...simplify.
$ y=738e^{34.5}\qquad$...use calculator to solve.
$y\approx 23247$
