Answer
The second model $g(x)$ is better.
Work Step by Step
Step 1. For year 2014, $x=2014-1950=64$. The first model gives
$f(64) = 6.43(1.027)^{64}\approx35.38$ percent
Step 2. The second model gives
$g(64) =\frac{40.9}{1+6.6e^{-0.049(64)}}\approx31.78$ percent
Step 3. The bar graph gives a value of $32.0$ percent for year 2014. Thus the second model $g(x)$ is better.
