Question

if p varies directly as q, and p = 8 when q = -3, find q when p = 12.

Answer 1

welcome to openstudy!

Answer 2

hi

Answer 3

"p varies directly as q"

So that means \(p = kq\), where k is unknown constant.

We need to find k first. We know that \(p=8\) when \(q = -3\)

So you have \(8 = -3k\quad\Longrightarrow\quad k = -\dfrac{8}{3}\)

So now you have equation \(p = -\dfrac{8}{3}q\)
Plug 12 into p then solve for q.

Answer 4

q=-4.5