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
The correct answer is: B
Explanation
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.