Question

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

Answer 1

Answer:

Constant of variation (k) = -18

Step-by-step explanation:

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

$y$ ∝ $\frac { 1 } { x }$

Changing this inverse proportionality to equality to get:

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

Substituting the given values:

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

$k=-9 \times 2$

k = -18