The correct answer is D. May develop habit of self-study.
Homework can help students develop the habit of self-study by giving them the opportunity to practice what they have learned in class independently. This can help them to become more independent learners and to develop the skills they need to succeed in college and beyond.
Option A is incorrect because homework is not just about keeping students busy. It is about helping them to learn and to develop the skills they need to succeed.
Option B is incorrect because students can study at home without being given homework. Homework is just one way to encourage students to study.
Option C is incorrect because students can be checked for their progress without being given homework. There are other ways to check for student progress, such as quizzes, tests, and class participation.