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Given that p varies as the square of q and q varies inver...

Given that p varies as the square of q and q varies inversely as the square root of r. How does p vary with r?

A.

p varies as the square of r

B.

p varies as the square root of r

C.

p varies inversely as the square of r

D.

p varies inversely as r

Correct answer is D

pq2

q1r

p=kq2

q=cr

where c and k are constants.

q2=c2r

p=kc2r

If k and c are constants, then kc2 is also a constant, say z.

p=zr

p varies inversely as r.