Answer
The predicted total public debt in $2025$ is about $19.13$ trillion dollars.
As year $2025$ is far from year $2014$ and the equation is quadratic, the prediction may not be reasonable.
Work Step by Step
Finding $t$:
$$t=2025-2000=25$$
$$D=-0.071t^2+2.94t-10.0$$
Substituting $t=25$ into the equation:
$$D=-0.071(25)^2+2.94(25)-10.0$$
$$D=19.13$$
Thus, the predicted total public debt in $2025$ is about $19.13$ trillion dollars.
As year $2025$ is far from year $2014$ and the equation is quadratic, the prediction may not be reasonable.