Question on: JAMB Mathematics - 2010

If y varies directly as the square root of x and y =3 when x = 16, calculate y when x = 64

A
6
B
12
C
3
D
5
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Correct Option: A

y = (\alpha)√x ........(1)

y = k√x ........(2)

When y = 3, x = 16,

(2) becomes 3 = k√16 or 3 = k x 4

giving k = (\frac{3}{4})

from (2), y = (\frac{3}{4})√x

When x = 64, y = (\frac{3}{4})√64

y = (\frac{3}{4}) x 8

= 6

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