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Zina [86]
3 years ago
8

Y varies directly as x and y = 18 when x= 1/2. write an equation that relates y and x

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0
\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=18\\
x=\frac{1}{2}
\end{cases}\implies 18=k\cfrac{1}{2}\implies 18=\cfrac{k}{2}
\\\\\\
36=k\qquad therefore\qquad \boxed{y=36x}
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