Question

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Answer 1

Answer:

B. p varies inversely as r

Step-by-step explanation:

Since, p varies directly as q

$\therefore p\:\:\alpha \:\:q\\

\therefore p= kq.. (k = constant)... (1)\\

$

Since, q varies inversely as r

$\therefore q\:\:\alpha \:\:\frac{1}{r} \\

\therefore q= \frac{k}{r} .. (k = constant)... (2)\\

$

From equations (1) & (2)

$p = k\times \frac{k}{r}\\

p = \frac{k^2}{r}\\

p\:\:\alpha \:\: \frac{1}{r}\\

$

Hence, p varies inversely as r.