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The value of y varies inversely as x and when x=2,y=4. What is x when y=1?

 Jul 3, 2022
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\(\text{When two variables x and y, are inversely proportional, then: }\)

\(y=\dfrac{k}{x}\)  or \(x=\dfrac{k}{y}\) where k is a constant to be determined.

 

So, let us use: \(y=\dfrac{k}{x}\)

How to find k? Use the given:  \(x=2,y=4\)

\(4=\dfrac{k}{2} \implies k=8\)

Thus, \(y=\dfrac{8}{x} \)

Now, when y=1 then: \(1=\dfrac{8}{x} \implies x=8\)

Hope this helps!

 Jul 3, 2022

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