WAEC - Mathematics (2000 - No. 37)

Given that p varies directly as q while q varies inversely as r, which of the following statements is true?

r varies directly as p

p varies inversely as r

p varies directly as r

q varies inversely as p

P varies directly as q means p = kq some constant k

q varies inversely as r means q = \(\frac{\text{m}}{\text{r}}\) for some constant m

Substituting the expression for q into the equation for p:

p =\(\frac{\text{km}}{\text{r}}\)

This shows that p varies inversely as r.