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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.

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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 class=

Sagot :

sabeehfamily

Answer:

10206

Step-by-step explanation:

f(0) = 14000

∵ f(n) = f(n-1) * 0.9

=> f(1) = f(0) * 0.9 = 14000 * 0.9 = 12600

=> f(2) = f(1) * 0.9 = 12600 * 0.9 = 11340

=> f(3) = f(2) * 0.9 = 11340 * 0.9 = 10206

so, After three years later, 10206 birds will remaining.

The recursively defined function that describes the given situation would be f(n) = f(n-1) x 0.9, after four years, 9185 birds will be remaining.

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

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.

f(0) = 14000

f(n) = f(n-1) x 0.9

f(1) = f(0) x 0.9

= 14000 x 0.9

= 12600

f(2) = f(1) x 0.9

= 12600 x 0.9

= 11340

f(3) = f(2) x 0.9

= 11340 x 0.9

= 10206

f(4) = f(3) x 0.9

= 10206 x 0.9

= 9185.4

Therefore, after four years, 9185 birds will be remaining.

Learn more about function;

https://brainly.com/question/12431044

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