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A population numbers 12,000 organisms initially and grows by 10.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a ⋅ b t where

Respuesta :

Answer:

[tex] P= a b^t[/tex]

And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:

[tex]b= 1+0.108 = 1.108[/tex]

And then our model would be given by:

[tex] P = 12000 (1.108)^t[/tex]

Step-by-step explanation:

For this case if we want to find a model for the population number after some time t we can use the following general model:

[tex] P= a b^t[/tex]

And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:

[tex]b= 1+0.108 = 1.108[/tex]

And then our model would be given by:

[tex] P = 12000 (1.108)^t[/tex]

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