Week 3: What to do with wilted veggies?

I don't know how it nature works. These veggies are grown outside in the heat and they are fine. I bring them home and they wilt within 2 days.

I've put them in my fridge=wilt.
I left them on the counter=wilt.

I feel like I am throwing away too many veggies as a result. Take a look at the before photo.

BEFORE

AFTER

Yep, those are the same carrots. Granted, this is a little more than 2 days but wilting is a serious concern. I asked around to my farm-fresh friends and they recommended using the crisper drawer in my fridge. I'll give it go the next week. 

Also, I have no idea what to do with boc choi!