Question

I don't get this can u please show me step by step

Answer 1

$\bf \begin{array}{llllll} \textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\ \textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\ y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x} \\\\ &&y=\cfrac{{{ k}}}{x}&\impliedby \begin{array}{llll} k=\textit{constant}\\ \qquad \textit{of variation} \end{array} \end{array}\\\\ -----------------------------$

$\bf y=\cfrac{k}{x}\qquad \begin{cases} y=0.2\\ x=0.3 \end{cases}\implies 0.2=\cfrac{k}{0.3}\implies 0.2\cdot 0.3=k \\\\\\ \textit{thus, the equation will be}\quad y=\cfrac{0.06}{x}$