Question
If there are 1024 total students and staff, how long before we all become zombies?
The equation you entered to model this strain is:
y=2^x
Using this model, determine how long it would take to infect the entire school. If you weren't able to come up with an equation, you can use the original table to help. Use the notepad to show your work and enter your answer below, in minutes.
minutes: 01,2,3,4,5,6,7,8,9,10,11
number of zombies: 1,2,4,8,16,32,64,128,256,512,1024,__
The equation you entered to model this strain is:
y=2^x
Using this model, determine how long it would take to infect the entire school. If you weren't able to come up with an equation, you can use the original table to help. Use the notepad to show your work and enter your answer below, in minutes.
minutes: 01,2,3,4,5,6,7,8,9,10,11
number of zombies: 1,2,4,8,16,32,64,128,256,512,1024,__
Answers
GPT-4o mini
To determine how long it will take for all 1024 students and staff to become zombies using the model \( y = 2^x \) where \( y \) represents the number of zombies and \( x \) represents the time in minutes, we can analyze the values given.
From the table you provided, we have:
- **Minute 1:** \( 2^1 = 2 \)
- **Minute 2:** \( 2^2 = 4 \)
- **Minute 3:** \( 2^3 = 8 \)
- **Minute 4:** \( 2^4 = 16 \)
- **Minute 5:** \( 2^5 = 32 \)
- **Minute 6:** \( 2^6 = 64 \)
- **Minute 7:** \( 2^7 = 128 \)
- **Minute 8:** \( 2^8 = 256 \)
- **Minute 9:** \( 2^9 = 512 \)
- **Minute 10:** \( 2^{10} = 1024 \)
From this analysis, we can see that at the end of minute 10, the number of zombies reaches \( 1024 \), which is the total number of students and staff.
Therefore, it will take **10 minutes** for the entire school to become zombies.
### Final Answer:
**minutes: 10**
From the table you provided, we have:
- **Minute 1:** \( 2^1 = 2 \)
- **Minute 2:** \( 2^2 = 4 \)
- **Minute 3:** \( 2^3 = 8 \)
- **Minute 4:** \( 2^4 = 16 \)
- **Minute 5:** \( 2^5 = 32 \)
- **Minute 6:** \( 2^6 = 64 \)
- **Minute 7:** \( 2^7 = 128 \)
- **Minute 8:** \( 2^8 = 256 \)
- **Minute 9:** \( 2^9 = 512 \)
- **Minute 10:** \( 2^{10} = 1024 \)
From this analysis, we can see that at the end of minute 10, the number of zombies reaches \( 1024 \), which is the total number of students and staff.
Therefore, it will take **10 minutes** for the entire school to become zombies.
### Final Answer:
**minutes: 10**