How do you find y when $x = 12$ $x=12$ if y is inversely proportional to x and $y = 2$ $y=2$ when $x = 8$ $x=8$ ?

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Answer 1 · 2014-11-03T06:07:50

Since $y$ $y$ is inversely proportional to $x$ $x$ , we can wite

$y = \frac{k}{x}$ $y=k/x$ ,

where $k$ $k$ is a constant.

Since $y = 2$ $y=2$ when $x = 8$ $x=8$ ,

$2 = \frac{k}{8} \Rightarrow k = 16$ $2=k/8 => k=16$

Now, we know the complete formula

$y = \frac{16}{x}$ $y=16/x$ .

If $x = 12$ $x=12$ , then

$y = \frac{16}{12} = \frac{4}{3}$ $y=16/12=4/3$ .

I hope that this was helpful.

How do you find y when x=12x=12x=12 if y is inversely proportional to x and y=2y=2y=2 when x=8x=8x=8?