Which client is at the greatest risk for developing deep vein thrombosis (DVT)?

The client who is on strict bed rest and smokes 1 pack per day is at the greatest risk for developing deep vein thrombosis (DVT). Being on bed rest significantly reduces mobility, which is a key factor in promoting venous stasis—the condition where blood flow slows in the veins. This stagnation can lead to the formation of blood clots.

Additionally, smoking contributes to a hypercoagulable state and damages the vascular endothelium, both of which further heighten the risk of clot development. Combined, these factors create a scenario where the likelihood of DVT increases substantially. Therefore, the combination of inactivity due to bed rest and the adverse effects of smoking leads to a higher risk profile for this client compared to the others listed.

The other individuals presented in the question display various positive lifestyle factors, such as exercise, which improves circulation, and the use of aspirin, which can reduce blood clotting risk. This makes them less susceptible to DVT compared to the client on bed rest who also smokes.