A man is holding a group of people hostage. He is threatening violence if his demands are not met. The police negotiator believes that she might avoid violence if she lies to him, saying that the money and a helicopter are on the way. She knows the news cameras are filming and getting everyone out alive will help her when she runs for police chief, so she lies. Which approach would support her motivation.

Rule utilitarianism

Explanation:

Based on the scenario being described within the question it can be said that the approach that would best support her motivation would be Rule utilitarianism. This is a variation of utilitarianism which states that an action is considered as right as long as it leads to the greater good. Which is what the police chief is doing by lying in order to save the lives of the hostages.

Rule utilitarianism

Explanation:

Rule utilitarianism which is similar to the act utilitarianism is a policy of ethics that states that an action is morally right if the actions taken are according to the rules that permits it for the greater good in the situation. this approach would support her actions/motivation because it would serve the greater good of saving the people held hostage but ultimately will help her when she runs for police chief  

while the Act utilitarian is a policy of ethics that states that a action is morally right if it serves the greater good and also the greater populace and not individual purpose or a lesser populace in the situation.  

c. wright mills's sociological imagination suggest investigating to explain this increase?