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This may be the wrong forum, but are there any natural contexts (physics, economics, etc.) in which one might observe the relationship $y = ax/(bx+c)$ between a pair of variables $x$ and $y$? General linear fractional expressions come up all the time in optimization but I've had a hard time finding a really simple and natural context where this might arise. Thanks!

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See the Michaelis-Menten equation in biochemistry.

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