biology class at high school predicted that a local population of animals will double in size every ...........

Math and Mental Ability Simplification

biology class at high school predicted that a local population of animals will double in size every 12 years. The population at the beginning of the year 2021 was estimated to be 50 animals. If P represents the population after n years, then which one of the following equations represents the model of the class for the population?

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P = 12 + 50n

P = 50 + 12n

P = 50 (2)¹²ⁿ

P = 50 (2)^n/12

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Explanation:

Population is getting doubled every 12 years, and population in the year 2021 is 50 animals.
So, after 12 years it will get doubled to 100 animals.
Now, let’s check the options, where n stands for the number of years.
Option (4):
P = 50 × 2^n/12 = 50 × 2^12/12 = 50 × 2 = 100 animals.
For all other options, this value comes out to be way above 100.
Hence, option (4) is the correct answer.