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kobusy [5.1K]
3 years ago
7

If x varies directly with y and x=3.5 when y=14 find x when y=18

Mathematics
1 answer:
jekas [21]3 years ago
4 0
\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{x} varies directly with \underline{y}}\qquad \qquad  x=ky\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
x=3.5\\
y=14
\end{cases}\implies 3.5=k14\implies \cfrac{3.5}{14}=k
\\\\\\
\cfrac{1}{4}=k\qquad therefore\qquad \boxed{x=\cfrac{1}{4}y}
\\\\\\
\textit{when y = 18, what is \underline{x}?}\qquad x=\cfrac{1}{4}(18)
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