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

u = \(\frac{8}{v^3}\)

v = \(\frac{8}{u^2v^3}\)

u = 8v³

v = 8u²

Correct answer is A

W \(\alpha\) \(\frac{1}{v}\)u \(\alpha\) w³

w = \(\frac{k1}{v}\)

u = k₂w³

u = k₂(\(\frac{k1}{v}\))³

= \(\frac{k_2k_1^2}{v^3}\)

k = k₂k₁k²

u = \(\frac{k}{v^3}\)

k = uv³

= (1)(2)³

= 8

u = \(\frac{8}{v^3}\)

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