take you up on the offer/challenge 接受提案

They placed a sign outside their door advertising free meals for those in need and advising people to not be shy.
“No one really knows anyone’s situation,” Manning said. “A lot of times it’s way easier for us to put it out there and to offer. More often than not you’ll find people will take you up on the offer.”
People are often reluctant to let people know they are in need, Manning says.