A virus can be transmitted when people shake hands. The rate of infection can be demonstrated with a simple simulation. For the purpose of this task, assume that this virus is transmitted every time a contact occurs. In a very large room, there are many people. When a signal is given, each person randomly pairs off with one other person and shake hands with that person. If person A, who is infected, shakes hands with person B, who is uninfected, then person B becomes infected too. If both members of a pair are infected, or both members are uninfected, then when they shake hands again, their infection status stays the same. Each time a signal is given, this process is repeated, with people randomly pairing off and shaking hands. Part i 1. In an experiment with 1024 people, one person is infected and 1023 people are uninfected before the first signal. The table shows the results after each signal and the number of people who are infected. Copy and complete the table. The ratios between the number of people infected for the first two rows have been completed for you. Complete the chart. Signal Number, s Number of People Infected, I Ratio 4 16 32 62 118 226 402 10 658 11 896 12 1006 13 1022 14 1024

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Need help, q's are based on the table of values

1. Does the number of people infected grow exponentially until everyone in the room is infected? Provide a reasonable explanation and include data from the table to support your answer.

 

2. What will happen to table of values/chart, if each person shakes hand with 2 other persons instead of one? Explain.

 

3. What will happen to table of values/chart, if there are 5 persons infected? Explain.

A virus can be transmitted when people shake hands. The rate
of infection can be demonstrated with a simple simulation. For
the purpose of this task, assume that this virus is transmitted
every time a contact occurs.
In a very large room, there are many people. When a signal is
given, each person randomly pairs off with one other person
and shake hands with that person. If person A, who is infected,
shakes hands with person B, who is uninfected, then person B
becomes infected too. If both members of a pair are infected, or
both members are uninfected, then when they shake hands again, their infection status stays the
same.
Each time a signal is given, this process is repeated, with people randomly pairing off and
shaking hands. Part i
1. In an experiment with 1024 people, one person is infected and 1023 people are uninfected
before the first signal. The table shows the results after each signal and the number of
people who are infected. Copy and complete the table. The ratios between the number of
people infected for the first two rows have been completed for you. Complete the chart.
Signal Number, s Number of People Infected, I
Ratio
4
16
32
62
118
226
402
10
658
11
896
12
1006
13
1022
14
1024
Transcribed Image Text:A virus can be transmitted when people shake hands. The rate of infection can be demonstrated with a simple simulation. For the purpose of this task, assume that this virus is transmitted every time a contact occurs. In a very large room, there are many people. When a signal is given, each person randomly pairs off with one other person and shake hands with that person. If person A, who is infected, shakes hands with person B, who is uninfected, then person B becomes infected too. If both members of a pair are infected, or both members are uninfected, then when they shake hands again, their infection status stays the same. Each time a signal is given, this process is repeated, with people randomly pairing off and shaking hands. Part i 1. In an experiment with 1024 people, one person is infected and 1023 people are uninfected before the first signal. The table shows the results after each signal and the number of people who are infected. Copy and complete the table. The ratios between the number of people infected for the first two rows have been completed for you. Complete the chart. Signal Number, s Number of People Infected, I Ratio 4 16 32 62 118 226 402 10 658 11 896 12 1006 13 1022 14 1024
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