Question

;If y varies inversely as x, find the constant of variation if y = 5 when x = -1

Answer 1

y varies inversely as x so equation would be

y = k/x

y = 5 when x = -1 so plug it in

5 = k/-1

solve for k

Answer 2

If y varies inversely with x

we have this equation:
\[y = \frac{1}{k}x\]
where k is the constant of variation :D

y =5 ,x = -1

now find k

Answer 3

\[y(x)\propto x^{-1}\]
\[y(x)=kx^{-1}=\frac kx\]