Question

If y varies inversely with x, find the constant of variation x= -40 and y= 4

Answer 1

Answer:

$y=\frac{-160}{x}, \ \ \ \ k=-160$

Step-by-step explanation:

let $k$ be a constant written as:

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

It is given that y=4, x=-40

#We substitute x, y values in our function:

$y=\frac{k}{x}\\\\4=\frac{k}{-40}\\\\k=4\times-40\\\\k=-160$

We substitute the constant value in the equation:

$y=\frac{k}{x}, k=-160\\\\y=\frac{-160}{x}$