Final answer:
The recursive function to model the decrease in bird population by 10% each year, with an initial population of 14000 after 1 year, is P(n) = P(n-1) × (1 - 0.10), with P(1) = 14000.
Step-by-step explanation:
The situation described where the native bird population decreases at a rate of 10% per year after 1 year with a population count of 14000 can be modeled using a recursive function. The recursive function that models this situation could be described as:
P(n) = P(n-1) × (1 - 0.10), where P(n) is the population at year n, and P(n-1) is the population at year (n-1). To apply this function, one would calculate the next year's population by multiplying the current year's population by 0.9 (since there is a 10% decrease).
For the initial condition, since the population is 14000 after the first year, we would have P(1) = 14000. For any subsequent years, we can use the recursive function to find the population. For example, population in the second year would be P(2) = P(1) × 0.9 = 14000 × 0.9 = 12600.