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= 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.
To determine how long it would take for all 1024 individuals to become infected with Strain B, we need to consider the rate at which the infection spreads. Let's assume for this model that each infected individual is able to infect 2 other individuals per minute.
Initially, we have 1 infected individual and 1023 susceptible individuals. In the next minute, the 1 infected individual will infect 2 others, leaving us with 3 infected individuals and 1021 susceptible individuals. In the minute after that, the 3 infected individuals will infect 6 others, leaving us with 9 infected individuals and 1015 susceptible individuals. And so on.
This forms a geometric progression, where the number of infected individuals doubles each minute. The general formula for the number of infected individuals at time t can be expressed as:
I(t) = 2^(t-1)
We want to find the time t when the total number of infected individuals equals 1024. So we set up the equation:
2^(t-1) = 1024
Solving for t:
2^(t-1) = 2^10
t-1 = 10
t = 11
Therefore, it would take 11 minutes for all 1024 individuals to become infected with Strain B.
what is the answer
The answer is 11 minutes.
this not right
My apologies for the oversight. Let's correct the calculation:
Given that the formula for the number of infected individuals at time t is:
I(t) = 2^(t-1)
We want to find the time t when the total number of infected individuals equals 1024:
2^(t-1) = 1024
2^(t-1) = 2^10
t - 1 = 10
t = 11
Therefore, it would take 11 minutes for all 1024 individuals to become infected with Strain B.