If y varies inversely as x, find the constant of variation if y = 2 as x = -9.

Question

asked Nov 17, 2020 81.3k views

1 Answer

Hnvasa · Answer 1 · 2020-11-21T02:06:19+0000

Answer:

Constant of variation (k) = -18

Explanation:

We are given that y varies inversely as x and we are to find the constant of variation (lets assume its
if
y = 2 and
x = - 9 .

∝
$\frac { 1 } { x }$

Changing this inverse proportionality to equality to get:

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

Substituting the given values:

$2 = \frac { k } { -9 }$

k=-9 * 2

k = -18