If $y$ varies inversely as $x$ and $y=6$ when $x=2$, find the inverse variation equation and then compute $y$ when $x=3$.

• A. $y=\frac{12}{x}$$y\left(3\right)=4$
• B. $y=3x$ $y\left(3\right)=9$
• C. $y=12x$ $y\left(3\right)=36$
• D. $y=\frac{3}{x}$ $y\left(3\right)=1$

Answer: (A)