Answer
Very well.
Work Step by Step
Use the given model function $f(x)=\frac{12.57}{1+4.11e^{-0.026x}}$
For year 2000, we have
$x=2000-1949=51$
and
$f(51)=\frac{12.57}{1+4.11e^{-0.026(51)}}\approx6.01$ billion
As this number is close to $6.1$ billion, the model fits the data very well.
