Question

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

Answer 1

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.