If x varies inversely as y and y varies directly as z, what is the relationship between x and z?
-
A.
x (alpha) z -
B.
x (alpha) (frac{1}{z}) -
C.
a (alpha) z(^2) -
D.
x (alpha) (frac{1}{z^2})
Correct Answer: Option B
Explanation
(x propto frac{1}{y}), y (propto) z
x = (frac{k}{y})
y = mz
Since y = mz,
x = (frac{k}{mz}), where k and m are constants. Hence,
x (propto) (frac{1}{z})