Question

determine the constant of variation of each equation
(-x^2/y)=3 and y=2x

Answer 1

To get the constant of variation for the first equation, write it in the form

\(\dfrac{y}{x^2} = k\)

To get the constant of variation for the second equation, write it in the form
\(\dfrac{y}{x} = k\)

Answer 2

@Hero so is the first on y=-3x^2?! lol i dont really get it

Answer 3

For the first one, divide both sides by -1 to get

\(\dfrac{x^2}{y} = -3\)

Then multiply both sides by \(y\)
Then divide both sides by \(x^2\)
Then divide both sides by \(-3\)

When you do that, you end up with


\(-\dfrac{1}{3} = \dfrac{y}{x^2}\)

Answer 4

But that is the same as

\(\dfrac{y}{x^2} = -\dfrac{1}{3}\)

Which means \(k = -\dfrac{1}{3}\)

Answer 5

ohhh ok.. thanks you! what bout the second one?! do i do it exactly the same way too?

Answer 6

You simply re-write it in the form given above in my first post.

Answer 7

but theres only one number

Answer 8

For the second one, divide both sides by \(x\)

Simple as that