write an appropriate inverse variation equation if y = 7 when x = 2.

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01-07-2017
Mathematics

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write an appropriate inverse variation equation if y = 7 when x = 2.

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jdoe0001 jdoe0001 · Answer 1 · 2017-07-01T02:24:44+02:00

[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\\ variation \end{array}\\\\ -------------------------------\\\\ \textit{we know that } \begin{cases} y=7\\ x=2 \end{cases}\implies 7=\cfrac{k}{2}\implies 7\cdot 2=k\implies 14=k \\\\\\ thus\qquad \qquad \boxed{y=\cfrac{14}{x}}[/tex]