If (x + 3) varies directly as y and x = 3 when y =
MATHEMATICS
WAEC 2002
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. \(\frac{1}{2}\)
- C. \(-\frac{3}{2}\)
- D. -1
Correct Answer: A. 1
Explanation
\((x+3) \propto y\\
?x + 3 = ky\hspace{1mm}when\hspace{1mm}x = 3, y = 12\\
3+3 = 12k\\
? k = \frac{1}{2}\\
\Longrightarrow x + 3 = \frac{1}{2}y\) to find x when y = 8
\(x + 3 = \frac{1}{2}\times 8\\
x=4-3\\
x = 1\)
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