Mathematics

If y varies directly as the square root of x and y = 3 when…

If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64
  • A.
    12
  • B.
    6
  • C.
    3
  • D.
    5
Correct Answer: Option B
Explanation

y ∝ √xy = K√x
K = y/x = 3/√16
= 3/4y = 3/4x
= 3/4√64 when x = 64
= 3/4 x 8/1
= 6