Question

Using the CDC Virus Information, complete the table below for STRAIN B to show the number of zombies after each minute.


Strain B

Minutes
Number of Zombies
Math Input: 2
Math Input: 4
Math Input: 8
Math Input: 16
Math Input: 32
Math Input: 64
Math Input: 128
Math Input: 256
Math Input: 512
Math Input:




Strain B started with a genetic mutation in patient zero that caused them to turn into a zombie. This strain differs from A in that all zombies can infect new people. Zombies infected with strain B can infect 1 person every minute.

Answer 1

To calculate the number of zombies for Strain B over time, we start with 1 zombie (patient zero) and assume each zombie can infect 1 new person every minute. This leads to an exponential increase in the number of zombies.

Here's how the calculation works:

- At minute 0: 1 zombie (patient zero)
- At minute 1: 1 original zombie + 1 newly infected = 2 zombies
- At minute 2: 2 original zombies (1 infects 1 new) + 2 newly infected = 4 zombies
- At minute 3: 4 zombies (2 infecting 2 new) = 8 zombies
- At minute 4: 8 zombies (4 infecting 4 new) = 16 zombies
- At minute 5: 16 zombies (8 infecting 8 new) = 32 zombies
- At minute 6: 32 zombies (16 infecting 16 new) = 64 zombies
- At minute 7: 64 zombies (32 infecting 32 new) = 128 zombies
- At minute 8: 128 zombies (64 infecting 64 new) = 256 zombies
- At minute 9: 256 zombies (128 infecting 128 new) = 512 zombies

This is consistent with the doubling pattern, where the total number of zombies at each minute is twice that of the previous minute.

Now, let's complete the table:

| Minutes | Number of Zombies |
|---------|-------------------|
| 0 | 1 |
| 1 | 2 |
| 2 | 4 |
| 3 | 8 |
| 4 | 16 |
| 5 | 32 |
| 6 | 64 |
| 7 | 128 |
| 8 | 256 |
| 9 | 512 |

Make sure to fill in the "Math Input" rows with the number of zombies according to the corresponding minutes above.