The correct response, given that the force acting on the objects is constant, is:
An object with a higher mass has more inertia which causes it to speed up less quickly.
This statement is supported by the relationship between mass, inertia, and acceleration as described by Newton's second law of motion (F = ma). According to this law, for a constant force, an increase in mass (which corresponds to greater inertia) results in a decrease in acceleration.