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If x - 3 is directly proportional to the square... - JAMB Mathematics 2008 Question

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 option: b
x - 3 x y2

x - 3 = ky2

when x = 5, y = 2

5 - 3 = k(2)2

2 = 4k

k = \(\frac{2}{4}\)

k = \(\frac{1}{2}\)

Find x when y = 6

from x - 3 = ky2

x - 3 = \(\frac{1}{2}\)ky2

x - 3 = \(\frac{1}{2}\) x 36

x - 3 = 18

x = 18 + 3

x = 21
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