Answer: 186655
Step-by-step explanation:
Given: A population of geese grow in such a way that each generation is simply 2.2 times the previous generation. It means they grow exponentially.
The initial number of geese in the first generation = 3
The exponential growth equation for nth generation is given by :-
[tex]y=Ab^{n-1}[/tex], where A is the initial amount and b is the multiplicative rate of change.
such that for n=1, [tex]y=3(2.2)^{1-1}=3[/tex]
In 15th generation with multiplicative rate of change b= 2.2, the population is given by :-
[tex]y=3(2.2)^{15-1}\\\Rightarrow\ y=3(62218.21)\\\Rightarrow\ y=186654.63\approx186655[/tex]
