In the last episode of Life is Strange, Max goes back to
the beginning of the first episode and alerts David to Jefferson's crimes and hideout.
Returning to the present,
we see that Jefferson was arrested soon afterwards (the photographs of that replace ones that took part during the intermediate episodes) and so in the present Max is not his prisoner.
Max goes even farther back and tears the photo that would be her submission to the contest, intending to make sure she doesn't leave Arcadia Bay. But somehow the result is that Jefferson hasn't been arrested, and it's only after she's already a prisoner that David finds his hideout.
I don't understand how Max not having a photo to submit delayed David finding out about Jefferson. David said Max led him there, which implies she still sent that message in the altered past, but this time around David gets there several days later.
How did altering that bit of the past delay the rest?