I need help with this question for MAT 143.

Suppose you call the first two friends at 12:05 and you are satisfied because you've shared your secret, so you don't tell anybody else.Unfortunately, none of your friends can keep a secret.Like you, they just need to tell two friends, but then each of those friends needs to tell two friends, and so on.

Fill in the table below to show how many people are told and how many people know the secret after each 5 minute interval.

Time

5 minute interval

Number of people told

Number of people who know

12:00

12:05

12:10

12:15

12:20

12:25

12:30

12:35

12:40

12:45

12:50

12:55

1:00

1.How many people know your secret at 12:40 in Scenario A?

In Scenario B?

2.Describe the pattern of growth in the "Number of people told" column for both Scenario A and Scenario B.

3.Describe the pattern of growth in the "Number of people who know" column for both Scenario A and Scenario B.

4.Write an equation to find the "Number of people told" for any 5-minute interval(n) in Scenario A.

5.Write an equation to find the "Number of people told" for any 5-minute interval in Scenario B.

6.Write an equation to find the "Number of people who know" for any 5-minute interval in Scenario A.

7.Write an equation to find the "Number of people who know" for any 5-minute interval in Scenario B.

Using the equations you wrote in problems 4-7, create an Excel spreadsheet with the columns "5-minute interval," "Number of people told," and "Number of people who know". Make sure your spreadsheet matches your tables above before answering the following questions.

8.After how many minutes would at least 100 people know in Scenario A?

In Scenario B?

9.According to the 2012 US Census, the population of NC is 9,752,073.Using Scenario B, after how many minutes could all the residents of NC know your secret?

10.According to the 2012 US Census, the population of the US is 313,914,040.Using Scenario B, after how many minutes could all the residents of the US know your secret?