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What is the exponential growth equation for calculating population size?

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Final answer:

The exponential growth equation for calculating population size is P = Po * e^(r*t), where P is the population size at time t, Po is the initial population size, e is the mathematical constant approximately equal to 2.718, r is the growth rate, and t is the time in years.

Step-by-step explanation:

The exponential growth equation for calculating population size is represented by the formula: P = Po * e^(r*t), where P is the population size at time t, Po is the initial population size, e is the mathematical constant approximately equal to 2.718, r is the growth rate, and t is the time in years.

For example, if a population starts with 100 individuals (Po = 100), has a growth rate of 0.05 (5%) per year (r = 0.05), and the population is observed after 5 years (t = 5), the equation would be:

P = 100 * e^(0.05*5)

= 100 * e^(0.25)

≈ 100 * 1.281

= 128.1 (rounded to one decimal place).

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