Mathematics: Suppose that y varies inversely with x. use the information to find k, and then choose the equation of variation. x = 1.2 when y = 3.

Suppose that y varies inversely with x. use the

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jasminechambers642

09.03.2022

$\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
x=1.2\\
y=3
\end{cases}\implies 3=\cfrac{k}{1.2}\implies 3(1.2)=k
\\\\\\
3.6=k\qquad therefore\qquad y=\cfrac{3.6}{x}$

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Suppose that y varies inversely with x. use the information to find k, and then choose the equation of variation. x = 1.2 when y = 3.

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