Rather than exercising individual political opinions, how about actually answering the kid’s question?
Here’s my answer, @LordBendtner:
Libertarian ideas and rational anarchy are VERY frequently discovered by adolescents who read The Moon is a Harsh Mistress or one of Ayn Rand’s novels. Adolescents tend to find them very appealing: there’s a mixture of idealism and rebellion against the status quo in the way they are presented. (This is also true of political ideas at the other end of the spectrum.)
As life becomes more complicated and one’s understanding and experience of living deepens and broadens, many people find both sets of views insufficiently nuanced. Very often this is described rather condescendingly as “growing up.” I disagree with that view: I think that while some people become more nuanced thinkers, others just sell out, for personal convenience and profit. Others maintain a degree of idealism for life. In any case, that is neither here nor there.
My main point is that the discovery of libertarianism is an incredibly common adolescent experience, intellectually. An essay burbling over with enthusiasm for John Galt would probably provoke more of an eyeroll than anything else. If your essay reveals a more sophisticated intellectual process, that’s another matter.