Question

Is `c = 3v` a direct variation, inverse variation, or neither?

Answer 1

`c = 3v` is a direct variation.

Explanation:

In a direct variation, one number changes based on how the other changes. Basically, some number `x` will always be a certain number `k` times more than its partner `y`. This is usually written as:

`y = kx`

In an inverse variation, two numbers change so that their product will stay constant. Unlike a direct variation, one number gets bigger while the other gets smaller. This is usually written as:

`yx = k`

Now look at the original equation: `c = 3v`
We can see that `v` will always change relative to `c`, by a factor of 3.
This is also an equation of the form `y = kx` where `k` is a constant.
So, this is a direct variation.