Question

Y and X vary directly. If the constant of variation is 4,then what is the value of x when y=6?

Answer 1

`\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ k=4\qquad \boxed{y=4x}\qquad \qquad \textit{when y=6}~\hfill 6=4x\implies \cfrac{6}{4}=x\implies \cfrac{3}{2}=x`