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Mathematics 22 Online
OpenStudy (anonymous):

xy = –12. What is the constant of variation for this relationship?

OpenStudy (whpalmer4):

Here's a hint: you have inverse variation, which can be expressed as \[xy = k\]where \(k\) is the constant of variation. It can also be expressed as \[y = \frac{k}{x}\]or \[x=\frac{k}{y}\] What do you think the constant of variation is in this equation?

OpenStudy (whpalmer4):

This is possibly the easiest problem you'll ever do :-)

OpenStudy (anonymous):

i dont know

OpenStudy (anonymous):

is it -12?

OpenStudy (ipwnbunnies):

Yes.

OpenStudy (whpalmer4):

Yes, -12 is the constant of variation. When someone says \(xy = k\), where \(k\) is the constant of variation, and your problem is \[xy = -12,\text{ what is the constant of variation?}\]it really shouldn't be too much of a stretch to arrive at the correct answer...

OpenStudy (anonymous):

Wow, this makes way more sense! Thanks. :)

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