Question

If y varies directly with x, and y = 32 when x = 8, how do you write the direct linear variation equation and what is the constant?

Answer 1

`y=4x`

Explanation:

A direct linear variation equation is an equation of the form: `y=kx` where `k` is a constant.

In this example we are told that `y=32` when `x=8`

`:. 32 = k xx 8 -> k=32/8 =4`

So, `k=4` is our direct linear constant.

And, our direct linear variation equation is: `y=4x`