The correct answer to this open question is the following.
Unfortunately, you forgot to attach the chart. Without it, we do not its content, just you.
You also forgot to attach the options for this question.
However, trying to help you we did some deep research and found some good information and a chart.
That is why we can say that according to the chart in "Making Money," approximately $100 bills stay in circulation for 15 years.
According to some investigations, that is the time the US $100 bill stays in circulation. That is a long time if we compare this fact with the circulation of a $50 dollar bill, that is 8.5 years.
Remember that it is the United States Treasury Department the one that is responsible for printing currency in the country. It also replaces bills that are damaged or old enough to be retired of circulation.