Question

Solve for k, the constant of variation, in a direction variation problem where y = 240 and x = 30.

Answer 1

$\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} y=240\\ x=30 \end{cases}\implies 240=k30 \\\\\\ \cfrac{240}{30}=k\implies 8=k$