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