The manager of a new health club kept track of the number of active members over the club’s first few months of operation. The number, $N$ of active members, in hundreds, $t$ months after the club opened is given by the equation $$\begin{gathered} N=\dfrac{10t}{4+t^2} \end{gathered}$$

1. Graph the equation in the window
   $$\begin{aligned} \text{Xmin} \amp = 0 \amp\amp \text{Xmax} = 9.4\\ \text{Ymin} \amp = 0 \amp\amp \text{Ymax} = 3 \end{aligned}$$
2. Use the graph to find out in which months the club had 200 active members.
   Months: Enter month numbers separated by a comma.
3. Verify your answer algebraically by solving an equation.