Names: _______________________________,___ Class: ___________ Date:____________ Group Members Names: ____________________________________________________________________  

CALL OF DUTY

BLACK OPS ZOMBIES While experimenting with a dangerous virus in a laboratory in Kino Der Toten, three different lab technicians became infected with a virus and turned to zombies. The zombie infection began to spread, and every day four more people got infected. Complete the table below to show how many total zombies there will be every day for the first 10 days of the attack.

 

 

1.   Write a function that can represent the total number of zombies (y) for a given day (x).

Function: ____________________________________________________________________

2.   What kind of function did you use to model the zombie growth?

____________________________________________________________________________________

Graph: Create a graph of your function. Make sure to use an appropriate scale for the x and y axis.

Day Number of Zombies

(Kino Der Toten)

0 3

1

2

3

4

5

6

7

8

9

10

Three infected people then traveled to Morg City before they completely turned. But for some reason, their zombie infection is spreading more rapidly now, and every day the number of zombies quadruples. Complete the table below to show how many total zombies there will be every day for the first 10 days of the attack. Complete the new table of values below.

3.   Write a function that can represent the total number of zombies (y) for a given day (x).

Function: __________________________________________________________________________

4.   What kind of function did you use to model the zombie growth?

____________________________________________________________________________________

Graph: Create a graph of your function. Make sure to use an appropriate scale for the x and y axis.

Day # of Zombies

(Morg City)

0 3

1

2

3

4

5

6

7

8

9

10

5.   How does this function compare to the function from the first scenario? What is the same, and what is different? Explain in detail (be specific)

______________________________________________________________________________________________

6.   Solve: If the zombie growth will continue according to the above pattern, how long will it take until all humans are turned into zombies? (***hint*** there are approximately 7 billion people on Earth)

Homework - What if only two lab assistants had been infected with the zombie virus, and the

number of zombies triples every day? Complete the new table of values below.

1.   Look at the pattern of growth for each of your tables. What patterns do you notice about each one?

2.   What conclusions can you make about the pattern of growth and the type of function model you used to write your equation?

Day # of Zombies

0 2

1

2

3

4

5

6

7

8

9

10