Final answer:
The statement is false; in a social context, centrality actually increases with the number of people dependent on an individual and the severity of that dependence, similar to density-dependent factors in ecology.
Step-by-step explanation:
The statement that centrality decreases with the number of people dependent upon you as well as how quickly and severely they are affected by that dependence is false. Centrality, in a social context, typically refers to the importance or influence of a person within a network. The more people that depend on an individual, and the greater the impact of that dependence, the more central and important that individual is likely to be considered within the network.
For example, density-dependent factors in ecology are those that intensify as the population density increases. This is different from centripetal acceleration in physics, which is directly proportional to the velocity and inversely proportional to the radius of curvature, meaning it increases as the radius decreases. Centrality in social networks behaves more like a density-dependent factor, where influence or importance increases as more connections or dependents are added.