Park rangers released 12 fish into a pond in year 0. each year, there were twice as many fish as the year before. how many fish were there after x years? write a function to represent this scenario.

The function would be,

Step-by-step explanation:

Given,

Park rangers released 12 fish into a pond in year 0,

Thus, the initial number of fish = 12,

Also, there were twice as many fish as the year before,

⇒ After 1 year the number of fishes = 2(12) = 12(2),

Similarly,

After 2 years = 2(12(2))= 12(2)²,

After 3 years = 2(12(2)²) = 12(2)³,

................, so on,....

Thus, the number of fishes after x years would be,

Let f(x) represents the number of fish after x years,

Which is the required function that the given scenario.

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