Answer
The ticket price at movie theaters in $2025$ is about $\$9.68$.
Since year $2025$ is far from year $2014$, the prediction may not be reasonable.
This value is a little higher to the ticket price where I live.
Work Step by Step
$$t=2025-2000=25$$ $$P=-0.0038t^2+0.272t+5.25$$
Substituting $t=25$ into the equation:
$$P=-0.0038(25)^2+0.272(25)+5.25=9.68$$
Thus, the ticket price at movie theaters in $2025$ is about $\$9.68$.
Since year $2025$ is far from year $2014$, the prediction may not be reasonable.
This value is a little higher to the ticket price where I live.