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Iteru [2.4K]
3 years ago
15

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

Mathematics
1 answer:
Daniel [21]3 years ago
8 0

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}

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