Answer
year $2020$
Work Step by Step
Step 1. Assume the number of years after 1980 is $x$; we have the ticket price as $p=2.69+0.17x$.
Step 2. Letting $p=9.49$, we have $2.69+0.17x=9.49$, $0.17x=6.8$ and $x=40$ years.
Step 3. We conclude the year is $1980+40=2020$.