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Celery will keep for weeks if it's tightly wrapped in aluminum foil. Wash it and dry it as soon as you get it home from the store.
Extend the life and quality of celery by wrapping tightly in foil before placing it in the crisper of your refrigerator. It lasts for a very long time.
You can buy one or two stalks of celery, use what you need at the time but cut the rest into about 4 inch pieces and wrap bunches of it tightly in aluminum foil.
I have learned that if you fully wrap your bunch of celery (unwashed and uncut with the twist tie removed) in foil and store it in the fridge it will last longer.
If you wash and dry your celery, then wrap it in tin foil. It will last twice as long. Don't laugh, it really works.