Exponential Growth & Decay

Question

4). The population of a southern city follows the exponential law. If N is the population of the city and t is the time in years, express N as a function of t N(t)= ___

(Type an expression using t as the variable and in terms of e.)

Answer 1

N(t) = N₀*e^rt

where r is a constant, t is time in years, and N₀ is the initial population in some give base year. r is determined by analyzing the population growth over several years, usually by an exponential regression technique. r is the annual growth rate of the city.