Final answer:
The system the Virginia Company used to develop large estates by granting land to settlers who brought over other settlers from England is called the headright system.
Step-by-step explanation:
The headright system was established by the Virginia Company, this policy was a central part of the colony's efforts to attract more settlers and laborers necessary for the growth and prosperity of the colony, especially given the demand for labor-intensive tobacco cultivation.
Thus, the system that the Virginia Company implemented, which granted 50 acres of land to settlers for each settler they brought over from England, is called the headright system.
Under this system, those who paid their own passage to Virginia received 50 acres of land, and an additional 50 acres for each servant or family member they brought with them. This system was designed to encourage more people to migrate to Virginia and help develop a stable population.
In essence, the headright system served as an incentive for colonists by providing them a significant land grant for every servant or family member they sponsored, thereby investing in the future of the colony both demographically and economically.