A town of 1200 people has "fan-out" system for emergencies. In an emergency the mayor phone two people. in the next minute each of these people phone two other people . the pattern continues until all 1200 people are contacted. complete yhe tableand determine how many minutes it takes for all 1200 people to be contacted and how many would be contacted in 15 min.
no table. I don't know what you need.
Keep doubling the number of calls each minute
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048
To solve this problem, we can use exponential growth patterns to determine the number of people contacted each minute. Let's complete the table step by step.
Minute | Number of People Contacted
-------|--------------------------
1 | 2
2 | 4
3 | 8
4 | 16
5 | 32
6 | 64
7 | 128
8 | 256
9 | 512
10 | 1024
11 | 2048
After analyzing the table, we can see that it takes 11 minutes to contact more than 1200 people since after 11 minutes, there would be 2048 people contacted.
Now, to determine how many people would be contacted in 15 minutes, we can continue the pattern:
Minute | Number of People Contacted
-------|--------------------------
12 | 4096
13 | 8192
14 | 16384
15 | 32768
The table shows that in 15 minutes, the number of people contacted would be 32,768.
To summarize:
- It takes 11 minutes to contact all 1200 people.
- In 15 minutes, 32,768 people would be contacted.