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If x 3 varies directly as y and x 3 when y 12 w... - WAEC Mathematics 2002 Question

If (x + 3) varies directly as y and x = 3 when y = 12, what is the value of x when y = 8?
A
1
B
12
C
D
-1
correct option: a

((x+3) \propto y<br /> ∴x + 3 = ky\hspace{1mm}when\hspace{1mm}x = 3, y = 12<br /> 3+3 = 12k<br /> ∴ k = \frac{1}{2}<br /> \Longrightarrow x + 3 = \frac{1}{2}y) to find x when y = 8
(x + 3 = \frac{1}{2}\times 8<br /> x=4-3<br /> x = 1)

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