Respuesta :

Answer:

[tex]y=\frac{-160}{x}, \ \ \ \ k=-160[/tex]

Step-by-step explanation:

let [tex]k[/tex] be a constant written as:

[tex]y=\frac{k}{x}[/tex]

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

#We substitute x, y values in our function:

[tex]y=\frac{k}{x}\\\\4=\frac{k}{-40}\\\\k=4\times-40\\\\k=-160[/tex]

We substitute the constant value in the equation:

[tex]y=\frac{k}{x}, k=-160\\\\y=\frac{-160}{x}[/tex]

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