If y varies inversely as x, how do you find the constant of variation if y=14 when x=8?

Question

If y varies inversely as x, how do you find the constant of variation if y=14 when x=8?

1 Answer

Impact of this question

4397 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-02T15:09:05

Since it is an inverse variation it can be represented as:
$y = \frac{k}{x}$ $color(red)(y) = color(blue)(k/color(red)(x$ , where $k$ $color(blue)(k$ represents the constant term , $x and y$ $color(red)(x and y)$ are the variables.

Values for the variables are:
$y = 14$ $y=14$ and $x = 8$ $x=8$

substituting these values :
$y = \frac{k}{x}$ $color(red)(y) = color(blue)(k/color(red)(x$
$y . x = k$ $color(red)(y.x) = color(blue)(k$

$(14) . (8) = k$ $(14).(8)= color(blue)(k)$
we get the constant as $k = 112$ $color(blue)k = 112$

$y = \frac{112}{x}$ $color(red)(y) = color(blue)(112/color(red)(x$

$x . y = 112$ $color(red)(x.y) = color(blue)(112$ , represents the inverse variation in which constant is $112$ $112$ .

Science

Math

Humanities

... and beyond

If y varies inversely as x, how do you find the constant of variation if y=14 when x=8?

1 Answer

Related questions

Impact of this question