Answer:
Because he believed that in this way the violence and persecution of southern whites against blacks would be reduced, allowing blacks to live normal lives and gradually integrate into society.
Step-by-step explanation:
Booker T. Washington was a southerner and knew that the life of blacks in this region was very difficult, as they suffered a strong and violent persecution by white southerners who did not accept the integration of blacks into society. Booker T. Washington knew that criticisms of racial segregation infuriated whites even more, making them more and more violent. In this scenario, Booker T. Washington affirmed that blacks should not go on claiming the end of segregation, but should focus on respecting whites and being good workers, guaranteeing their survival and having a normal life. For him, if the wrath of whites was appeased, blacks would survive and be integrated into society little by little.