Physics gre question: checking relationships with graphs

[Aziza]

question: "In laboratory experiments, graphs are employed to determine how one measured variable depends on another. These graphs generally fall into three categories: linear, semilog (logarithmic vs linear), and log-log. Which type of graph listed in the third column below would NOT be the best for plotting data to test the relationship given in the first and second columns?"

http://www.physicsgrad.com/sites/img/pgre/9677-27p.png
The answer is D...it says a log-log plot should be used. But why wouldn't linear also work? If I plot V(out)/V(in) versus 1/w, that should be a linear graph if V(out)/V(in) is proportional to 1/w...?

 

[Doc Al]

If I plot V(out)/V(in) versus 1/w, that should be a linear graph if V(out)/V(in) is proportional to 1/w...?

You're plotting gain vs frequency (ω), not 1/ω.