The statement is false. ___ If \(a \propto \cfrac{1}{b}\), then \(a = \cfrac{k}{b}\) where \(k\) is a non-zero constant of variation. \[ \therefore \cfrac{a}{b} = \cfrac{k}{b^2} \ne \text{constant} \]
The statement is false. ___ If \(a \propto \cfrac{1}{b}\), then \(a = \cfrac{k}{b}\) where \(k\) is a non-zero constant of variation. \[ \therefore \cfrac{a}{b} = \cfrac{k}{b^2} \ne \text{constant} \]