If B varies inversely as c\(^{\frac{1}{3}}\) and C = 27 when B = 2, find the value of the constant of proportionality K.
A
3
B
6
C
9
D
12
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
B = \(\frac{K}{C^{\frac{1}{3}}}\)
2 = \(\frac{K}{27^{\frac{1}{3}}}\)
K = 2 x 3 = 6
Source: WAEC / JAMB / NECO Classroom Archive (Record #70297)