The correct answer is A. might.
Might is the past form of may. May is a modal verb that expresses possibility, permission, or willingness. It can also be used to express a request or suggestion. The past form of may is might. Might is used to express possibility, permission, or willingness in the past. It can also be used to express a request or suggestion in the past.
Option B is incorrect because may is not the past form of might. May is a modal verb that expresses possibility, permission, or willingness. It can also be used to express a request or suggestion. The past form of may is might. Might is used to express possibility, permission, or willingness in the past. It can also be used to express a request or suggestion in the past.
Option C is incorrect because will is not the past form of might. Will is a modal verb that expresses future events. It can also be used to express intention or willingness. The past form of will is would. Would is used to express past events, intentions, or willingness.
Option D is incorrect because can is not the past form of might. Can is a modal verb that expresses ability or permission. It can also be used to express a request or suggestion. The past form of can is could. Could is used to express ability or permission in the past. It can also be used to express a request or suggestion in the past.