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# Proportion

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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