Write an equation that relates the variables. g varies inversely as the $\text { sixth }$ root of z
A) $g = \sqrt [ 6 ] { k z }$
B) $g = \frac { 1 } { \sqrt [ 6 ] { z } }$
C) $g = \frac { 1 } { k + \sqrt [ 6 ] { z } }$
D) $g = k \sqrt [ 6 ] { z }$
E) $g = \frac { k } { \sqrt [ 6 ] { z } }$

Question

Quizplus · Accepted Answer

When a variable is said to vary inversely, it means that as one variable increases, the other decreases, and vice versa. In this case, we are told that g varies inversely as the sixth root of z. The mathematical expression for this relationship is: g=k/z^(1/6), where k is a constant of proportionality. Solving for g, we get: g=k/(z^(1/6)), which is the same as g=k/(6th root of z). Thus, the best choice is E, which is equivalent to the equation we derived.

Write an Equation That Relates the Variables sixth \text { sixth } sixth

Write an Equation That Relates the Variables $\text { sixth }$