Question

Given that X varies proportionally to Y and y=27 when x =3, find the constant of proportionality.

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}\\\\ -------------------------------\\\\ \begin{cases} y=27\\ x=3 \end{cases}\implies 27=k3\implies \cfrac{27}{3}=k\implies 9=k`