Question

How do I write this as an equation?

P varies directly as q and inversely as the square root of R

Answer 1

pVR/ q

Answer 2

P varied directly with q
P proportional to q
P varies inversely to square root of R
P proportional to \(\frac{1}{\sqrt R}\)
combining the two
so P is proportional to\(\frac{q}{\sqrt R}\)
So
\[P= k\frac{q}{\sqrt R}\]
k is a constant of proportionality