If there are 1024 total students and staff, how long before we all become zombies?

Question

Strain B

The equation you entered to model this strain is:
"y" equals 2 "x"y=2x
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 will take for the infection to spread to all 1024 students and staff using the model \( y = 2^x \), we need to find the value of \( x \) when \( y \) equals 1024.

1. Identify the equation: We have the equation: \[ y = 2^x \]

2. Set the equation equal to 1024: \[ 2^x = 1024 \]

3. Express 1024 as a power of 2: \[ 1024 = 2^{10} \]

4. Set the exponents equal: \[ x = 10 \]

This means it will take 10 time units for the infection to spread to the entire school. If you're measuring in minutes, then it will take 10 minutes for all 1024 students and staff to become infected.

Final answer: 10 minutes