Mariaaa
(A) Working to support their families and pay off their homes, it is unfortunate that many people become embroiled in a constant struggle with their credit card companies, in which they agonize over making minimum payments and witness their monthly fees rise astronomically. -- wrong: "working to support their families and pay off their homes" should be modifying "many people"
''Working to support their families and pay off their homes'' is a modifier that should modify ''many people'', hence the modifier is not placed closer to the noun it modifies option A is incorrect
sudarshan22
(B) Working to support their families and pay off their homes, many people become embroiled in a constant struggle with their credit card companies, agonize over making minimum payments and witnessing their monthly fees rise astronomically.
Modifier error is removed but ''agonize'' and ''witnessing'', joined by co-ordinating conjunction ''and'', are not parallel. Hence incorrect
sudarshan22
(C) Despite their work to support their families and pay off their homes, it is unfortunate that many people become embroiled in a constant struggle with their credit card companies, in which they agonize over making minimum payments and witness their monthly fees rise astronomically.
''Despite their work to support their families and pay off their homes,'' is modifier that should modify ''many people''. SInce it is not placed closer to the noun it modifies, option C is incorrect
sudarshan22
(D) Unfortunately to agonize over making minimum payments and to witness their monthly fees rise astronomically, many people who are working to support their families and pay off their homes become embroiled in a constant struggle with their credit card companies.
''Unfortunately to agonize'' is incorrect. Many people getting embroiled in a struggle with credit card companies is unfortunate. Agonizing over making payments is not unfortunate.
sudarshan22
(E) Working to support their families and pay off their homes, many people become embroiled in a constant struggle with their credit card companies, agonizing over making minimum payments and witnessing their monthly fees rise astronomically.
''The modifier ''Working to support their families and pay off their homes'' correctly modifies the noun ''many people''. ALso ''agonizing...'' is a present participle that presents the result of many people getting embroiled in a struggle
Hence E