If x varies inversely as y and (x = frac{2}{3}) when y = 9, find the value of y when (x=frac{3}{4})
-
A.
(frac{1}{18}) -
B.
(frac{8}{81}) -
C.
(frac{9}{2}) -
D.
8
Correct Answer: Option D
Explanation
(x propto frac{1}{y})
(x = frac{k}{y})
(frac{2}{3} = frac{k}{9})
(3k = 18 implies k = 6)
(x = frac{6}{y})
When y = (frac{3}{4}),
x = (frac{6}{frac{3}{4}})
= (frac{6 times 4}{3})
= 8