If y varies inversely as x(^2), how does x vary with y?
-
A.
x varies inversely as y2 -
B.
x varies inversely as y -
C.
x varies directly as y2 -
D.
x varies directly as y
Correct Answer: Option B
Explanation
(y propto frac{1}{x^2})
(y = frac{k}{x^2})
(x^2 = frac{k}{y})
(x = frac{sqrt{k}}{sqrt{y}})
Since k is a constant, then (sqrt{k}) is also a constant.
(therefore x propto frac{1}{sqrt{y}})