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If y varies directly as the square root of x an... - JAMB Mathematics 2010 Question

If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64
A
12
B
6
C
3
D
5
correct option: b

y ∝ √x
y = K√x

K = y/x = 3/√16

= 3/4
y = 3/4x

= 3/4√64 when x = 64

= 3/4 x 8/1

= 6

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