If y varies inversely with x, and y= 2 when x= 8, what is k, the constant of proportionality?

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03-05-2018
Mathematics

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If y varies inversely with x, and y= 2 when x= 8, what is k, the constant of proportionality?

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jdoe0001 jdoe0001 · Answer 1 · 2018-05-03T22:17:52+02:00

jdoe0001 jdoe0001

03-05-2018

[tex]\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=2\\ x=8 \end{cases}\implies 2=k8\implies \cfrac{2}{8}=k\implies \cfrac{1}{4}=k[/tex]

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