Two separate species of mice live in a national park.

The number of species of A was 12000 at the start of the year 2000 and increased by 200 per month after that date. The number of species of B was 8000 at the start of the year 2000 and increased by 5% per month after that date.
If n is the number of months after the start of 2000 (when n = 1), write formulas for the populations of the two species An and Bn.

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Did you know?

Did you know that the populations of two species of mice in a national park can be predicted using formulas? Take species A, for example. At the start of the year 2000, there were 12,000 individuals, and each month after that, the population increased by 200. To calculate the population of species A after a certain number of months (denoted as n), the formula is An = 12,000 + 200n. Now let's talk about species B. At the beginning of the year 2000, there were 8,000 individuals in this species, and every month after that, the population increased by 5%. To determine the population of species B after a given number of months (n), the formula is Bn = 8,000(1 + 0.05)^n. By using these formulas, scientists and researchers can predict and monitor the population sizes of these mice species in the national park.