MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

[tex]\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}[/tex]