The general function form for inverse variation is y= kx, where k is the constant of variation and k cannot equal 0.
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Practice makes perfect
We are told y varies inversely as x. Knowing this, we will write a function that models this inverse variation and then find the value of x when y=12.
Function
Let's recall the general formula for inverse variation.
y=k/xIn this formula, k is the constant of variation. Both k and x cannot equal 0. To find its value we will substitute the given values, x=1 and y=4, into the formula.
