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 Superscript, "x" , Baseline
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.

Math Input:
Minutes
Number of Zombies
Math Input:
If there are 1024 total students and staff, how long before we all become zombies?
Strain B

The equation you entered to model this strain is:

"y" equals 2 Superscript, "x" , Baseline
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.

Math Input:
Minutes
Number of Zombies
Math Input:
If there are 1024 total students and staff, how long before we all become zombies?
Strain B

The equation you entered to model this strain is:

"y" equals 2 Superscript, "x" , Baseline
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.

Math Input:
Minutes
Number of Zombies
Math Input:

Answer 1

To determine how long it will take to infect all 1024 students and staff using the model \(y = 2^x\):

1. Identify the Variables:

   • \(y\) represents the number of zombies after \(x\) minutes.
   • We need to find \(x\) when \(y = 1024\).

2. Set Up the Equation: \[ 2^x = 1024 \]

3. Express 1024 as a Power of 2:

   • \(1024 = 2^{10}\)
   • This means that \(2^x = 2^{10}\).

4. Solve for \(x\): Since the bases are the same, we can equate the exponents: \[ x = 10 \]

5. Conclusion: It will take 10 minutes for the entire school of 1024 students and staff to become zombies.

Final Answer: 10 minutes