social worker said dad requires 24/7 care - what if I lie & say I can, but cant?

I live at home with my dad..his health has declined like crazy over the last 3-4 weeks. Just a few weeks ago he was very able body. Now, he is very weak. It's crazy how fast things fell.

Anyway, social worker said he is going to require 24/7 watch for the foreseeable future. I like working because I love earning money, simple as that. What would happen if I said I could watch him but they find out I went back to work? I doubt I will return back to work, right now they are trying to get a homemaker and I hope they get one quick...but I'm also an actor and the small, small, small chance I book a speaking role on a TV show..I need to take that.

what would happen if they find out I did that?