Question - Exponential Growth of Rabbit Population
Solution:
Given that the size of a rabbit population doubles every year, we use the formula for exponential growth: $$ r(t) = r_0 \cdot 2^{t} $$, where $$ t $$ is time in years and $$ r_0 $$ is the initial population size.In this scenario, $$ r_0 = 1,000 $$, hence the correct formula becomes:\[ r(t) = 1,000 \cdot 2^{t} \]The answer that matches this formula is:\[ r = 1,000(2^{t}) \]
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