Final answer:
Northern white philanthropists backed the Tuskegee Institute's education model because it advocated Black uplift through vocational education, promising socio-economic improvements and a self-sufficient Black community within a cost-effective framework.
Step-by-step explanation:
Northern white philanthropists supported the model of education practiced by the Tuskegee Institute because it aligned with the beliefs of leaders like Booker T. Washington, who embodied the ethos of Black uplift ideology. This ideology emphasized hard work, perseverance, and Christian morality, and industrial education was seen as a way to elevate Blacks to a level of acceptance and provide a skilled labor force. Supporters like William Henry Baldwin Jr. and Julius Rosenwald were convinced by the value of creating a self-supporting Black community through vocational education, which also promised to be a more cost-effective and resource-efficient approach to educating African Americans at that time.