Answer
$$\left( {\text{b}} \right)$$
Work Step by Step
$$\eqalign{
& y = \frac{{12}}{{1 + \frac{1}{2}{e^{ - x}}}} \cr
& {\text{Let }}x = 0 \cr
& y = \frac{{12}}{{1 + \frac{1}{2}{e^{ - \left( 0 \right)}}}} \cr
& y = \frac{{12}}{{3/2}} \cr
& y = \frac{{24}}{3} \cr
& y = 8 \cr
& {\text{At }}x = 0,{\text{ }}y = 8 \cr
& {\text{Therefore, the equation matches with the graph }}\left( {\text{b}} \right) \cr
& \left( {\text{b}} \right) \cr} $$
