If x and y vary inversely, and x = 8 when y = 1/4, what is y when x = -4?

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01-04-2022
Mathematics

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If x and y vary inversely, and x = 8 when y = 1/4, what is y when x = -4?

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loneguy loneguy · Answer 1 · 2022-04-01T22:07:09+02:00

loneguy loneguy

01-04-2022

[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx \\\\\implies \dfrac 14 = \dfrac k{8}\\\\\implies k=2\\\\\text{When}~ x =-4\\\\y = \dfrac{k}{x} = \dfrac{2}{-4}= -\dfrac 12[/tex]

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