Answer:
Batman's equation of this scenario is not accurate.
Step-by-step explanation:
The exponential function representing this situation should be
[tex]y=a\cdot b^{nx},[/tex]
where a is the initial amount of baddies living at Arkham asylum, b is the rate at which enemies increased, n is the number determing the period of enemies increasing and x is time in years.
In your case,
a=4 (initially there were 4 baddies living at Arkham asylum),
b=2 (the population doubled),
n=1/2 (the population doubled every 2 years).
Then
[tex]y=4\cdot 2^{\frac{x}{2}}.[/tex]
Note then when considering the function [tex]y=4\cdot 2^x[/tex] the population dubled each year, not every 2 years.
