Answer
Very well.
Work Step by Step
Use the given model function
$f(x)=\frac{12.57}{1+4.11e^{-0.026x}}$
For year 2010, we have
$x=2010-1949=61$
and
$f(61)=\frac{12.57}{1+4.11e^{-0.026(61)}}\approx6.826$ billion
As this number is close to $6.9$ billion, the model fits the data very well.
