V varies inversely with T and V = 18 when T = 3. Which equation shows this relationship?

A) v=54/T

B) v=6/T

C) v=54T

D) v=6T

The phrase "varies inversely" means that the value of V increases when T decreases and it decreases if otherwise. Let k be the constant of this inverse variation such that,

V = k/T

Substituting the given values,

18 = k/3

The value of k is 54. Thus, the inverse variation may be written as,

V = 54/T

Among the choices, the answer would be letter A. v = 54/T.