Solution:
Nearly all populations will tend to grow exponentially as long as there are resources available. The formula for exponential population growth is dN/dt = rN. In this equation \(d\) is the rate of change, \(\mathrm{N}\) is the number of existing individuals, \(\mathrm{r}\) is the intrinsic growth rate, \(\mathrm{t}\) is time, and \(\mathrm{dN} / \mathrm{dt}\) is the rate of change in population size.
