Question

Suppose that y varies inversely with x, and y=0.2 when x=2. What is an equation for the inverse variation

Answer 1

`\bf \qquad \qquad \textit{inverse proportional variation}\\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \begin{cases} y=0.2\\ x=2 \end{cases}\implies 0.2=\cfrac{k}{2}\implies 0.2\cdot 2=k\implies 0.4=k \\\\\\ thus\qquad y=\cfrac{0.4}{x}`