Assignment:
The winner of a school election is announced after school at 4:00 p.m. one student call 2 friends before 4:15 p.m., telling the name of the winner. Before 4:30 p.m., those 2 people call 2 more students and tells them the name of the winner. Before 4:45 p.m. each new student who has been notified call 2 more people telling them name of the winner. If no student is called twice, at what time will 200 students know the name of the winner?
Provide complete and step by step solution for the question and show calculations and use formulas.