Exponential Growth and Decay with Zombies!

The Zombie Apocalypse

What We Need You To Do

The world is entering a major crisis. The Zombie Virus has begun to spread all throughout the world, and we need to track how fast it's spreading in two towns to see which one needs help first. If we can supply help fast enough, we can save the most amount of people possible
To show this, we'll be creating an equation, graph, and table to model the spread of the virus over time

There are 8,000 people in this town. 8 zombies enter the town, and the population of zombies increases by 150% per day.

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Woses Pond

Multiple Choice

How much does the population of the zombies change per day in Woses Pond?

• Increases by 100%

• Increases by 50%

• Decreases by 50%

• Increases by 150%

Draw

Write the equation representing the growth of the zombies in Woses Pond.

There are 5,000 people in this town. 12 zombies enter the town, and the population of zombies increases by 125% per day.

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Guardian

Multiple Choice

How does the population of the zombies change per day in Guardian?

• Decreases by 75%

• Increases by 125%

• Increases by 75%

• Decreases by 125%

Draw

Write the equation representing the growth of the zombies in Guardian.

How many zombies will each town have after 7 days?

There are 5,000 people in this town. 12 zombies enter the town, and the population of zombies increases by 125% per day.

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Guardian

There are 8,000 people in this town. 8 zombies enter the town, and the population of zombies increases by 150% per day.

Woses Pond

Multiple Choice

Which town will have the most zombies after 7 days?

• Woses Lake

• Guardian

Open Ended

How many people will be left in Woses Pond after 7 days?

Open Ended

How many people will be left in Guardian after 7 days?

After 7 days, help is on the way

We have two separate teams to send out to help aid

• The first team we can send quarantines the zombies and steadily eliminates them at a rate of 100 zombies per day until they are wiped out.

• The second team we can send is more technology focused. The zombies will be quarantined and frozen. Every night, three quarters of the zombies are able to survive, reducing the total number of zombies by a quarter.

Eliminating all the Zombies

In order to eliminate the zombies as fast as possible we are only sending one team out to the town that needs it most.
Which town should receive aid from which team in order to eliminate the zombies the fastest?


(Show all your work on a separate sheet of paper)

Poll

Which town should each team aid?

• First team - Woses Pond

  Second team - Guardian

• First team - Guardian

  Second team - Woses Pond

Poll

Which town should receive the aid?

• Woses Lake

• Guardian

Open Ended

Which team should we send and why?

Why does this matter?

Why do you all think we are focusing on this today?

Open Ended

Why do you think exponential modeling is important?

Self-Evaluation

How well do you think you understand modeling population growth exponentially?

Poll

On a scale from 0-4, 0 being "I don't understand this at all," and 4 being "I could do this without thinking," rate your own personal understanding of modeling population growth with exponential equations, graphs, and tables

• 0

• 1

• 2

• 3

• 4