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If r varies inversely as the square root of s and t, how ...

If r varies inversely as the square root of s and t, how does s vary with r and t?

A.

s varies inversely as r and t2

B.

s varies inverely as r2 and t

C.

s varies directly as r2 and t2

D.

s varies directly as r and t

Correct answer is B

r1s,r1t

r1s ..... (1)

r1t ..... (2)

Combining (1) and (2), we get

r=ks×t=kst

This gives st=kr

By taking the square of both sides, we get

st = k2r2

s = k2r2t