Scientists released 8 rabbits into a new habitat in year 0. each year, there were twice as many rabbits as the year before. how many rabbits were there after x years? write a function to represent this scenario.

The function to represent the increasing number of rabbits per yer is

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 (or)

Similarly, during the year 2, the number of rabbits will be or

So, according to the pattern we can conclude that the function would be  

where x is the number of years.

On year 4, the total number of rabbits will be = 128

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