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The native bird population in a city is decreasing at a rate of 10% per year after 1 year the population of native birds is 14000 complete the recursive defined function to describe the situation.



The native bird population in a city is decreasing at a rate of 10% per year after-example-1
User Andy Shea
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2 Answers

4 votes

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.

User Aravind Siruvuru
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8.6k points
2 votes

Answer:14000, 0.9, 10206

Step-by-step explanation:

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User Laminatefish
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