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 penguin population after six years, we can use the formula for exponential growth:
P = P₀ * (1 + r)^t
Where:
P is the final population
P₀ is the initial population
r is the growth rate (in decimal form)
t is the number of years
Given:
Initial population (P₀) = 600
Growth rate (r) = 3 (since it triples in size each year)
Number of years (t) = 6
Substituting these values into the formula, we have:
P = 600 * (1 + 3)^6
To simplify the calculation, let’s first find the value inside the brackets:
(1 + 3)^6 = 4^6 = 4096
Now, substituting this value back into the formula:
P = 600 * 4096
Calculating this multiplication:
P = 2,457,600
Therefore, the size of the penguin population after six years would be 2,457,600
To find the size of the penguin population after six years, we can use the formula for exponential growth:
P = P₀ * (1 + r)^t
Where:
P is the final population
P₀ is the initial population
r is the growth rate (in decimal form)
t is the number of years
Given:
Initial population (P₀) = 600
Growth rate (r) = 3 (since it triples in size each year)
Number of years (t) = 6
Substituting these values into the formula, we have:
P = 600 * (1 + 3)^6
To simplify the calculation, let’s first find the value inside the brackets:
(1 + 3)^6 = 4^6 = 4096
Now, substituting this value back into the formula:
P = 600 * 4096
Calculating this multiplication:
P = 2,457,600
Therefore, the size of the penguin population after six years would be 2,457,600.
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