Mathematics, 28.11.2019 13:31 allyssaharrisooy50au
Which equation represents an inverse variation with a constant of 56? a: y/x = 56 b: 1/4y = 14x c: 7/y = 8/x d: xy/2 = 28
Answers: 1
![\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} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{xy}{2}=28\implies \stackrel{\textit{cross-multiplying}}{xy=56}\implies y=\cfrac{\stackrel{\stackrel{k}{\downarrow }}{56}}{x}](/tpl/images/0394/7349/58435.png)
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Which equation represents an inverse variation with a constant of 56? a: y/x = 56 b: 1/4y = 14x c...
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