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Sagot :
Answer:
The population in 11 years will be of 53,199.
Step-by-step explanation:
Equation for a population that doubles every n years.
The population of an specie, after t years, considering that is doubles after n years, is given by an equation in the following format:
[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]
In which P(0) is the initial population.
The population doubles every 15 years, and the current population is 32,000
This means that [tex]n = 15, P(0) = 32000[/tex]. So
[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]
[tex]P(t) = 32000(2)^{\frac{t}{15}}[/tex]
What will be the population in 11 years?
This is P(11). So
[tex]P(t) = 32000(2)^{\frac{t}{15}}[/tex]
[tex]P(11) = 32000(2)^{\frac{11}{15}}[/tex]
[tex]P(11) = 53199[/tex]
The population in 11 years will be of 53,199.
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