What is the constant of proportionality "k"?

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Answer 1 · 2014-11-11T11:28:33

If $y$ is directly proportional to $x$ , then we can write

$y=kx$ ,

where $k$ is the constant of proportionality.

If you solve for $k$ , we have

$k=y/x$ ,

which is the ratio of $y$ to $x$ .

Hence, the constant of proportionality is the ratio between two quantities that are directly proportional.

Inverse Variation

If $y$ is inversely proportional to $x$ , then we can write

$y=k/x$ ,

where $k$ is the constant of proportionality.

If you solve for $k$ , we have

$k=xy$ ,

which is the product of $x$ and $y$ .

Hence, the constant of proportionality is the product of quantities that are inversely proportional.

I hope that this was helpful.