I believe credit score starts to improve based on the date of last activity, and things get removed based on the length of time that has elapsed since the date of last activity (ie the 7 years).
Therefore, if Rodgers has stopped reporting on this a long time ago (ie more than 2 years ago) based on the COLLECTION CHARGE OFF, then paying it may cause them to report it again, and that may hurt your credit score.
If they are still reporting on it or have reported on it recently (within 2 years) then paying will help your credit score.
However, I am not an expert, and I would advise talking to an expert before making a decision.
Matthew