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Math Essay

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I’VE GOT A SECRET!

Learning outcome:

Upon completion student will be able to: * Given linear and exponential data, interpret the rate of change within the given context. * Represent linear and exponential models as equations, tables, graphs and verbal descriptions.

Scoring/Grading rubric:
Each question is worth 10 points.

Introduction:

Everyone has had some experience with gossip. In this lab, you will explore how well rumors (or secrets) spread when this information is passed on to other people.

Scenario A: At noon, you get some great news but you need to keep it a secret. It’s just too good to keep to yourself; so 5 minutes after you get the news you call 2 friends and tell them, but swear them to secrecy. …show more content…

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,

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