Final answer:
The nurse is enacting the transactional leadership model by offering additional paid leave as a reward for on-time work.
Step-by-step explanation:
The nurse is enacting the transactional leadership model. In this model, the leader motivates the followers through rewards and punishments based on their performance.
By offering nurses an extra day off with pay for finishing their work on time, the manager is providing a reward to incentivize them to meet the goal of decreasing overtime.
Transactional leadership focuses on achieving specific objectives and maintaining order within the organization through a system of rewards and consequences.