passpadi

2008

Mathematics

67ca00ce0c643c71d77dee1f

If x - 3 is directly proportional to the square of y and x = 5 when y =2, find x when y = 6.

A.

30

B.

21

C.

16

D.

12

Correct Answer: 21

Explanation

(x – 3) ∝ y2 X-3 = Ky2 K = X-3 / y2 = 5-2/22 = 2/4 = 1/2 ∴X-3 = 1/2y2 X-3 = 1/2 (6)2 X-3 = 1/2 x 36/1 X-3 = 18 X = 21

(x – 3) ∝ y2 X-3 = Ky2 K = X-3 / y2 = 5-2/22 = 2/4 = 1/2 ∴X-3 = 1/2y2 X-3 = 1/2 (6)2 X-3 = 1/2 x 36/1 X-3 = 18 X = 21
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