Home » Test Prep » PSAT Test » Which statement is true of z concerning its relationship to y?
x varies inversely as both the square of y and the square root of z. Assuming that x does not depend on any other variable, which statement is true of z concerning its relationship to y?
A. z varies inversely as y.
B. z varies directly as the fourth power of y.
C. z varies inversely as the fourth power of y.
D. z varies directly as the fourth root of y.
E. z varies inversely as the fourth root of y.
Correct Answer: C
Explanation/Reference:
Explanation:
x varies inversely as both the square of y and the square root of z, meaning that for some constant of variation K, x2√z= K Square both sides, and the expression becomes x2y4z = K2 K’ = K2 takes the role of the new constant of variation here, and we now have zx2y4 = K’, meaning that z varies inversely as the fourth power of y.
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