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

Question

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

mathstudent55 · Answer

I found it.

mathstudent55 · Answer

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

mathstudent55 · Answer

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

mathstudent55 · Answer

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.

anonymous · Answer

thank you(: