Suppose that x and y vary inversely, how do you write a function that models inverse variation given x=1 when y=11?

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Answer 1 · 2015-05-28T15:38:27

If $x$ $x$ and $y$ $y$ vary inversely, then

$x \cdot y = c$ $x*y = c$ for some constant $c$ $c$

If $(x, y) = (1, 11)$ $(x,y)=(1,11)$ is a solution set for the desired inverse variation, then

$(1) \cdot (11) = c$ $(1)*(11) = c$

So the inverse variation is
$x y = 11$ $xy = 11$
or (in an alternate form)
$y = \frac{11}{x}$ $y = 11/x$