Final answer:
The answer to the most extensive type of land-use agriculture is c) Extensive agriculture, which utilizes large land areas with lower inputs of labor and capital per area compared to intensive methods.
Step-by-step explanation:
The most extensive type of land-use agriculture, with the greatest amount of land area per person sustained, is c) Extensive agriculture. Extensive agriculture involves farming multiple plots over a wide territory and typically necessitates large amounts of land with less intensive input of labor and capital compared to other methods of agriculture. In contrast, intensive agriculture entails applying labor-intensive methods like plowing, terracing, and irrigation repeatedly to the same plots to yield higher productivity.
Examples of extensive agriculture are found in areas with less valuable land, which requires less costly farm labor, enabling the cultivation of large areas with minimal investment per unit of land. This form of agriculture is well-suited to regions with lower population densities where large plots can be managed by individual households or small communities.