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Inverse Variation

X varies inve...

Question

X varies inversely as Y. If X = 2 when Y = 0.5, then find the constant of variation.

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Solution

The correct option is A 1
Given, X varies inversely as Y.
$\Rightarrow X \propto \frac{1}{Y}$
Let the constant of variation be k.
$\Rightarrow X = \frac{k}{Y}$
$\Rightarrow X Y = k$
Given, at X = 2, Y = 0.5.
So, k = XY = (2)(0.5) = 1.

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X varies inversely as Y. If X = 2 when Y = 0.5, then find the constant of variation.

The correct option is A 1Given, X varies inversely as Y. ⇒X∝1Y Let the constant of variation be k. ⇒X=kY ⇒XY=k Given, at X = 2, Y = 0.5. So, k = XY = (2)(0.5) = 1.

The correct option is A 1
Given, X varies inversely as Y.
$\Rightarrow X \propto \frac{1}{Y}$
Let the constant of variation be k.
$\Rightarrow X = \frac{k}{Y}$
$\Rightarrow X Y = k$
Given, at X = 2, Y = 0.5.
So, k = XY = (2)(0.5) = 1.