U varies directly as the square root of V when U = 24, V = 9, find the value of V when U = 16.
A
0.32
B
4
C
6
D
0.25
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
U = K\(\sqrt{V}\)
24 = K\(\sqrt{9}\)
K = 8
U = 8\(\sqrt{V}\)
16 = 8\(\sqrt{V}\)
2 = \(\sqrt{V}\)
V = 4
Source: WAEC / JAMB / NECO Classroom Archive (Record #70294)