Strain B started with a genetic mutation in patient zero that caused them to turn into a zombie. This strain differs from A in that all zombies can infect new people. Zombies infected with strain B can infect 1 person every minute.
Using the CDC Virus Information, determine which type of graph for STRAIN B and write an equation to show the number of zombies after each minute.
minutes
On the graph is it linear, quadratic, or exponential
The graph for Strain B would be exponential because the number of zombies infected increases exponentially over time.
To write an equation to show the number of zombies after each minute, let's assume that initially there is only one zombie (patient zero). After each minute, the number of zombies infected doubles because each zombie can infect 1 person every minute.
Therefore, the equation would be:
Number of zombies after 'n' minutes = 2^n
In this equation, 'n' represents the number of minutes. For example, after 1 minute, there would be 2 zombies (2^1), after 2 minutes, there would be 4 zombies (2^2), and so on.
What’s the equation for the data
Apologies for the confusion! If you already have data for the number of zombies after each minute, we can determine the equation based on that data.
Let's assume you have a set of data points in the form (time, number of zombies):
(0 minutes, 1 zombie)
(1 minute, 2 zombies)
(2 minutes, 4 zombies)
(3 minutes, 8 zombies)
(4 minutes, 16 zombies)
...
From the given data, we can observe that the number of zombies is doubling after each minute, indicating an exponential growth pattern.
The general exponential equation can be written as: y = a * (b^x)
In our case, 'a' represents the initial number of zombies, which is 1 (at 0 minutes).
'b' represents the rate of growth, and in this case, it is 2 since the number of zombies is doubling after each minute.
'x' represents the time in minutes.
Putting these values into the equation, we get: y = 1 * (2^x)
So, the equation for the number of zombies after each minute, based on the given data, is y = 2^x.