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.

Answer 1

To determine how long it would take to infect all 1024 students and staff using the model \( y = 2^{x} \), we can follow these steps:

1. **Understand the Equation:**
The equation \( y = 2^{x} \) suggests that the number of infected individuals doubles every time unit (let's assume each unit is 1 minute).

2. **Set up the equation for total infection:**
We want to find the value of \( x \) (in minutes) when \( y \) (the amount of infected individuals) reaches 1024. Therefore, we set up the equation:
\[
2^{x} = 1024
\]

3. **Solve for \( x \):**
We know that \( 1024 \) is a power of \( 2 \):
\[
1024 = 2^{10}
\]
Thus, we can rewrite our equation as:
\[
2^{x} = 2^{10}
\]
This implies:
\[
x = 10
\]

4. **Conclusion:**
It will take **10 minutes** for the infection to spread to all 1024 students and staff.

### Answer:
10 minutes