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kow [346]
3 years ago
15

If y=1/2 when x=2, find y when x=3, given that y varies directly with x

Mathematics
1 answer:
Lelu [443]3 years ago
4 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=\frac{1}{2}\\
x=2
\end{cases}\implies \cfrac{1}{2}=k2\implies \cfrac{1}{4}=k
\\\\\\
\boxed{y=\cfrac{1}{4}x}
\\\\\\
\textit{when x=3, what is \underline{y}?}\qquad y=\cfrac{1}{4}\cdot 3
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Basically, all you have to do is substitue the terms given at the top.

x = -3

y = 6

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<em>The first one will be set up like this:</em>

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<em>The sixth will be set up like this: </em>

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