Calculating Penguin Population Growth: Formula and Result

Initial population of 600 penguins triples in size each year for six years. Find size of population after six years

To find the size of the population after six years, we can use the formula for compound interest:

P = P0 * (1 + r)^n,

where:
P is the final population size after n years,
P0 is the initial population size,
r is the growth rate per period, and
n is the number of years

To find the size of the population after six years, we can use the formula for compound interest:

P = P0 * (1 + r)^n,

where:
P is the final population size after n years,
P0 is the initial population size,
r is the growth rate per period, and
n is the number of years.

In this case, the initial population (P0) is 600 penguins and the growth rate (r) is 3 (since the population triples each year). The number of years (n) is 6.

Plugging in the values into the formula:

P = 600 * (1 + 3)^6.
= 600 * 3^6.
= 600 * 729.
= 437,400.

Therefore, after six years, the size of the penguin population will be 437,400.

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