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kate5582
03.10.2019 •
Mathematics
suppose that a population has a growth rate of r per member in unit time, with r> 0.
show that the time required for the population to double its initial size (called the doubling time) is (log2)/r.
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Ответ:
Hello there!
A model to see the growth of a certain population is the exponential model.
If the initial population is P, then the model can be written as
Where t is the time, and r is growth rate.
and f(0) = P
Then we want to know the time needed for the initial population to be doubled, this is f(x) = 2P, where x is the time that we want to find.
then![f(x)=Pe^{rx} =2P](/tpl/images/0285/0566/1074b.png)
then x= ln(2)/r
Ответ:
26 cups
Step-by-step explanation: