Question

if a varies inversely as b and a=7 when b=3 find b when a=9

Answer 1

Inverse variation of \(x,y\) means \(xy = k\) where \(k\) is the constant of variation.

\[ab = k\]\[(7)(3) = k\]Now plug in value of \(k\) and \(a = 9\) to find \(b\)