Answer:
The function to represent the increasing number of rabbits per yer is [tex]f(x)=8\times2^{x}[/tex]
Solution:
The number of rabbits released each year is 8.
During 0 year, there will be 8 rabbits;
During year 1, the number of rabbits will be [tex]8+8=16[/tex] (or) [tex]8\times 2 = 16[/tex]
Similarly, during the year 2, the number of rabbits will be [tex]16+16=32[/tex] or [tex]16\times 2 = 32[/tex]
So, according to the pattern we can conclude that the function would be
[tex]f(x)=8\times2^{x}[/tex]
where x is the number of years.
On year 4, the total number of rabbits will be [tex]f(4)=8\times2^{4}[/tex] = 128
