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Imagine a population of birds with an initial size of 100, a per-capita birth rate of 2, and a per-capita death rate of 1 per year. Use the discrete time form of the exponential growth equation to predict the number of individuals in this population after 5 years of growth.

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ajeigbeibraheem

Answer:

3200

Step-by-step explanation:

Given that:

The initial population of birds [tex]N_0[/tex] = 100

The time duration t = 5 years

Growth rate (r) = (Birth - Death) rate

= 2 - 1

= 1 / year

∴

using the discrete-time form:

[tex]N_t = N_o (1 + r )^t[/tex]

[tex]N_t = 100 (1 + 1 )^5[/tex]

[tex]N_t = 100 (2 )^5[/tex]

[tex]N_t = 100 \times 32[/tex]

[tex]N_t = 3200[/tex]

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