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 = (frac{8}{v^3}) -
B.
v = (frac{8}{u^2v^3}) -
C.
u = 8v3 -
D.
v = 8u2
Correct Answer: Option A
Explanation
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})