Final answer:
The determining factors for land allocation under Mexican rule included the settler's family size and slave ownership, with specific acreage granted for the settler, wife, children, and each slave. American settlers in Texas differed from tejanos by often being slave owners and maintaining distinct religious practices.
Step-by-step explanation:
While under Mexican rule, a key differentiator in deciding how much land settlers would receive was based on a variety of factors, such as the number of family members and slaves. For American settlers, each male colonist could purchase 640 acres for himself, 320 additional acres for his wife, 160 acres for each child, and 80 acres for each slave brought into the province. This was part of the incentives provided to attract immigrants, which included a significantly lower land cost compared to the United States and a ten-year exemption from paying Mexican taxes.
American settlers in the Mexican province of Texas were typically unlike tejanos in both being slave owners and remaining religiously distinct by not integrating with the Roman Catholic tejanos. This difference is highlighted by option d, which combines options a and b, signifying both the ownership of slaves and religious distinction as key differentiators.