You're welcome.
As I said, one of the symptoms of the failure listed in the FAQ for the
iBook Logic Board Repair Extension Program is "Computer starts up to blank screen," so it sounds like that may be what is wrong, all right.
The graphics chip is part of the logic board. Sometimes the board can be "re-balled," soldered to repair it. However, it requires removing the logic board and sending it to a service to have this done. It's not an easy task to remove and reinstall the logic board yourself, which is why I recommend sending it to DT&T, where they do this sort of thing a lot.
As for expecting it to last more than four years, that comment was directed at the other poster, not you. It's too bad if you can't afford a new one, though. The
MacBook is such a spectacular upgrade. I got mine in September, and I'm really sorry I waited so long. I loved the iBooks so much that I couldn't imagine liking one better, but I do. The MacBook is so much faster. There isn't a lot of difference in speed between my iBook G3 800 MHz and my iBook G4 1.2 GHz, but this MacBook fairly flies.
On the
_main Apple Store page_ at the bottom left, there is a "Special Deals" section. Click on "Refurbished Mac" and see what they have there. As I post this, they have listed a refurbished MacBook for $899. If you keep an eye on that page, maybe you can find a deal you can afford without the risk of buying used. If not, hopefully we can help you keep the iBook running until you can afford to replace it.
Good luck.