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Mathematics 20 Online
OpenStudy (anonymous):

How does inverse variation work? (STILL NEEDING HELP)

OpenStudy (phi):

inverse variation means you have an equation \[ y = \frac{k}{x} \] where k is some constant

OpenStudy (anonymous):

What is differrent from a normal variation?

OpenStudy (phi):

direct variation means \[ y = k x \]

OpenStudy (phi):

the difference is as x gets bigger in *direct variation* y gets bigger as x gets bigger in *inverse variation*, y gets smaller.

OpenStudy (anonymous):

so I just need a constant of variation that works in division instead?

OpenStudy (anonymous):

@phi so to find the value k, I multiply x*y?

OpenStudy (phi):

If you know you have inverse variation *and* you have an (x,y) pair, then you would use the x, y numbers in the equation y = k/x solving for k, we get xy= k or k= x*y so yes, if you have an (x,y) pair you can find k.

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