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If w varies inversely as V and U varies directly as w3<...

If w varies inversely as V and U varies directly as w3, Find the relationship between u and v given that u = 1, when v = 2

A.

u = 8v3

B.

v = 8u2v3

C.

u = 8v3

D.

v = 8u2

Correct answer is A

W α 1vu α w3

w = k1v

u = k2w3

u = k2(k1v)3

= k2k21v3

k = k2k1k2

u = kv3

k = uv3

= (1)(2)3

= 8

u = 8v3