Hmna wrote:Given that u^2 is directly proportional to the cube of w. Find the value of w when u = 27, if u = 8 when w = 8.
A) 14
B) 16
C) 18
D) 20
u and w are proportioned as follows:
(u�)²/(w�)³ = (u₂)²/(w₂)³.
Plugging in u�=8, w�=8, and u₂=27, we get:
8²/8³ = 27²/(w₂)³
1/8 = 27²/(w₂)³
(w₂)³ = (27²)(8)
(w₂)³ = 3�2³
w₂ = (3�2³)^(1/3) = (3²)(2) = 18.
The correct answer is
C.
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