The argument that best supports the student's claim that box 1 must have a smaller mass than box 2 is:
Heavier objects need greater force than lighter objects to accelerate at the same rate.
This statement explains that for two objects to accelerate at the same rate under the same force, the object with greater mass (box 2) would require more force. Therefore, if the same force is applied to both boxes and box 1 accelerates, it must have a smaller mass than box 2.