Q:

# What is the equation for inverse variation?

A:

The general formula for inverse variation is k equals y times x, where k is a constant quantity, y is one variable and x is another variable. Under inverse variation, when one variable increases, the other decreases.

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This is more easily seen when the formula is rewritten to solve for y, as is often the case when plotting points on a graph. In that case, the formula is expressed as y equals k divided by x. Since k always remains the same, as x increases, the result of that division must decrease. A simple example of inverse variation in the real world is slice size versus number of slices when dividing up a cake. Since the cake is a constant size, as the size of each slice increases, the number of individual slices must decrease.

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