Answer
The graph of the model is as shown.
From the graph, the year in which the average ticket price reached $\$7.00$ is year $2007$.
Work Step by Step
The graph of the model is as shown.
From the graph, the year in which the average ticket price reached $\$7.00$ is at $t=7.15\approx7$. Thus, the year is:
$$Year=2000+7=2007$$