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under ideal conditions, the population of a certain species doubles every nine years. If the population started with 100 individuals, write the mathmatical expression.

User Mgus
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It is given that,

The population of a certain species doubles every nine years.

To write the mathematical expression if the population started with 100 individuals:

According to the condition,

The population of a certain species doubles every nine years.

So that,


\begin{gathered} 9\text{ years = 1 (In 9 years, it attains the first double)} \\ 1\text{ year = }(1)/(9) \\ 2\text{ years = }(2)/(9) \\ 3\text{ years = }(3)/(9) \\ 4\text{ years = }(4)/(9) \\ \text{.}\ldots \\ 9\text{ years = }(9)/(9) \\ \text{That is, 1st double} \end{gathered}

So, In general,


(t)/(9),\text{ where t is number of years.}

Hence, the mathematical expression is,


100*2^{(t)/(9)}

User Cade Bryant
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