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A certain species of bird was introduced in a certain county 25 years ago. Biologists observe that the population doubles every 10 years, and now the population is 29,000. (a) What was the initial size of the bird population? (Round your answer to the nearest whole number.)

Answer :

Answer:

5126.52

Step-by-step explanation:

Time = 25 years

Population after 25 years = 29000

Biologists observe that the population doubles every 10 years, and now the population is 29,000

No. of 10 years in 25 years = [tex]\frac{25}{10}=2.5 years[/tex]

So, t = 2.5 years

Rate = 2

Formula = [tex]y=ab^t[/tex]

y is the population after t years

a is the initial population

b = rate

t = time

[tex]29000=a(2)^{2.5}[/tex]

[tex]\frac{29000}{(2)^{2.5}}=a[/tex]

[tex]5126.52=a[/tex]

Hence the initial size of the bird population is 5126.52

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