Final answer:
The ethical theory demonstrated in this situation is consequentialism, which looks at the outcome or consequences of an action.
Step-by-step explanation:
The ethical theory demonstrated in this situation is consequentialism. Consequentialism is a moral theory that looks at the outcome or consequences of an action to determine whether it is morally right. In this case, the emergency room staff is focusing on providing care to patients who are likely to survive, which is a consequentialist approach because they are prioritizing the outcome of saving the greatest number of lives.