
To determine the rate of addition of a 1-hexyl radical to the given molecules, we must consider the stability of the resulting radical intermediates. The more stable the radical, the faster the reaction is likely to proceed.

Based on the above analysis, the order of the rate of radical addition is determined by the stability of the intermediate radicals. Thus, the correct order is:
This is because the resonance and electron-withdrawing groups in R make it the most favorable for radical stability and therefore the fastest for the addition reaction.