A 100 μL Sample Containing 1000 Bacterial Cells/μl in Log

A 100 μl sample containing 1000 bacterial cells/μl in log phase growth is added to 9.9 ml of fresh culture medium broth. Assuming no nutrients are in limited supply, and a generation time of 30 minutes, how many bacteria will be present in the entire broth culture after six hours?

A) 2.56 × 10⁷
B) 4.096 × 10⁸
C) 1.2 × 10⁶
D) 6.0 × 10⁶
E) 6.0 × 10⁵