Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2 when y = 2. ? Description

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Answer 1 · 2018-06-06T15:09:35

$color(blue)(k=4)$

For inverse variation we have:

$y prop k/x^n$

Where $bbk$ in the constant of variation.

If $x=2$ and $y=2$

Then substituting these values in $ypropk/x^n$ :

$2=k/2$

$k=2*2=4$

Note:

$prop$ means proportional. You will often see $=$ used in place of this.

Answer 2 · 2018-06-06T15:21:50

$k=4$

$y prop 1/x -> "statement"$

Therefore;

$y = 1/x cdot k$

$y = k/x$ , where $k$ is constant..

When;

$x = 2 and y = 2$

Plugging in the values into the equation..

$2 = k/2$

$2/1 = k/2$

Cross multiplying;

$2 xx 2 = k xx 1$

$4 = k$

Hence;

$k=4$