Question

Suppose that y varies inversely with x. Write an equation for the inverse variation.
y = 2 when x = 5

Answer 1

I found it.

Answer 2

In a direct variation, as x increases, y also increases.
The formula for a direct variation is \(y = kx\).

Answer 3

You were not asked for a direct variation. You were asked for an inverse variation.

Answer 4

In an inverse variation, as x increases, y decreases and vice-versa.
The formula for an inverse variation is \(y = \dfrac{k}{x} \).

Now you need to find what k is.
You were given one point of this variation.
Replace x and y in the formula with the given values and solve for k.

Then rewrite the formula using the k value you found.
That is your answer.

Answer 5

thank you(: