Final answer:
The mita system was critical to the Inca Empire's administration and economy, requiring labor contributions for public works, and facilitating resource management and infrastructure development.
Step-by-step explanation:
The mita system was important to the Inca Empire as it played a crucial role in the administration and economic sustainability of the empire. This system required each village to contribute labor to public works projects such as the construction of roads, bridges, and agricultural terraces, forming the backbone of the Inca state's ability to integrate and control its vast territories. In return for their labor, peasants were provided laws, protection, and relief in times of need by their rulers, signifying a reciprocal relationship between the ruling class and the commoners.
Consequently, the mita system facilitated the efficient management of resources, the creation of an impressive infrastructure, and the consolidation of Incan authority over diverse populations.