passpadi

2011

Mathematics

JAMB

If x varies directly as square root of y and x = 81 when y = 9, Find x when y = 1(7/9)

A.

20(1/4)

B.

27

C.

2(1/4)

D.

36

Correct Answer: 36

Explanation

x α√y x = k√y 81 = k√9 k = 81/3 = 27 therefore, x = 27√y y = 1(7/9) = 16/9 x = 27 x √(16/9) = 27 x 4/3 dividing 27 by 3 = 9 x 4 = 36

x α√y x = k√y 81 = k√9 k = 81/3 = 27 therefore, x = 27√y y = 1(7/9) = 16/9 x = 27 x √(16/9) = 27 x 4/3 dividing 27 by 3 = 9 x 4 = 36
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