All of the programs are helpful in alleviating poverty because people don't have to pay for them. Nutrition programs give you food form the country just like housing and free healthcare are made to stop you from wasting your own money on it. All of the programs help people spend money on things that they need and are not for basic survival.
An adverbial phrase contains two in more words which take a syntactic function of modifying verbs, adjectives, or adverbs. Now it says in the question which "underlined group of words is an adverbial phrase," but the underlining does not seem to show up on here. It seems like in the last option, "almost anything" are two words that are modifying "buy." In my opinion, that would be the best option, however I still do not know which groups of words are underlined. I hope this helped you out!