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Natalija [7]
3 years ago
7

The native bird population in a city is decreasing at a rate of 10% per year due to industrialization of the area by humans. The

population of native birds was 14,000 before the decrease began.
Complete the recursively-defined function to describe this situation.

f(0) = ____

f(n) = f(n - 1) · 0.9 , for n ≥ 1

After 3 years, _____ birds will remain.
Mathematics
2 answers:
xxTIMURxx [149]3 years ago
6 0

Answer:

The recursively-defined function to describe this situation is:

  • f(0) = <u>14000</u>
  • f(n) = f(n - 1) · 0.9 , for n ≥ 1
  • After 3 years, <u>10206</u> birds will remain.

Step-by-step explanation:

To solve the number of birds that there will be after three years, you must recognize that the function f(0) means the number of birds at time zero, in which the birds are complete (that is, the 14,000 birds), by their part, following the equation provided below we have the following calculation:

  • f(n) = f(n-1) * 0.9

So:

  • f(1) = f(0) * 0.9 = 14000 * 0.9 = 12600
  • f(2) = f(1) * 0.9 = 12600 * 0.9 = 11340
  • <u>f(3) = f(2) * 0.9 = 11340 * 0.9 = 10206 </u>

Therefore, <u>the final number of birds after three years in decline is 10206</u>.

Anastasy [175]3 years ago
4 0

Answer:

10206 birds

Step-by-step explanation:

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