The correct answer to this open question is the following.
The question is incomplete because it doe not include the table to annotate the information, neither the activities that have to be classified.
However, I can do some research and my comments would be the following:
Activity: health education.
Category: health promotion.
Reason: it is appropriate that US citizens are informed about the benefits of good health habits.
Activity: prohibition of smoking in restaurants (closed areas)
Category: health protection.
Reason: federal government regulations. Each restaurant has to comply with it.
Activity: testing food products before are sold to the public.
Category: health protection.
Reason: Citizens have to be aware that de Food and Drug Administration examines food to keep the food safety of the American people.
Activity: printed information and continuing education programs.
Category: health promotion.
Reason: the more the public is informed, the better decisions the citizens can make.
Activity: carpooling services.
Category: both, health protection and health promotion.
Reason: many companies are inviting people to use this service to promote camaraderie and help the environment.
