Correct, but a bit misleading. You're taking a person that has income that increases tenfold over a year. For most people the rate of increase of income is smaller than credit card interest rates, and you can really justify high interest rates when you assume that you're going to make a lot of money next year, but then again Steinbeck said that most Americans think of themselves as temporarily embarrassed millionaires :)
Probably "year" is the wrong time period, but lots of people have very volatile income. A consultant can easily have 10x variance in income from month to month. A musician or actor might have 0 gigs one month and 5 gigs the next.
Shortening the time period just lowers the financing costs.
True, but still how many broke musicians and actors should be considering this month's zero income a fluctuation and get into credit card debt and how many should just be more conservative with their spending?
If you look at my example, the person with peak income of $10 spent a bit under $5.5/month. Both time periods were "fluctuations" from his average income of $5.5.