The correct answer to the given question is option A: will help.
Here's a detailed explanation:
- Modal Verbs: The question requires the use of a modal verb to indicate the possibility or likelihood of someone helping with homework. Modal verbs express various levels of possibility, ability, permission, and obligation.
- Will: The modal verb "will" is used to express a future action or a promise. It is commonly used to indicate willingness or determination to do something.
- Context: The given sentence states that "She" will help you with your homework. This indicates a future action where the person referred to as "She" is willing and likely to assist with the homework.
- Modal Verb Options: Let's evaluate the other options to understand why they are not the correct choices:
- Option B: Should help: "Should" expresses an obligation or a recommendation, but it does not convey the certainty that the person will actually help.

- Option C: Might help: "Might" implies a possibility or uncertainty. It suggests that there is a chance the person may help, but it does not convey a strong likelihood or willingness to do so.

- Option D: Could help: "Could" also indicates possibility or ability, but it does not emphasize the willingness or determination to help.
- Conclusion: Considering the context and the requirement for a modal verb that expresses willingness and certainty, the correct answer is option A: "will help."