Example Question - population doubling

Exponential Growth of Rabbit Population

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: \[ r = 1,000(2^{t}) \]