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If (x + 3) varies directly as y and x = 3 when y =…

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{}{})
  • D.
    -1
Correct Answer: Option A
Explanation

((x+3) propto y\
∴x + 3 = kyhspace{1mm}whenhspace{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)