Aurora Population (Historic) Aurora, Nevada, was a mining boomtown in the 1860  s and 1870  s. Its population can be modeled as p(t)={ -7.91 t^3 120.96 t^2 193.92 t-123.21 when 0.7 ≤ t ≤ 13 45,544(0.8474^∘) when 13< t ≤ 5. where p is measured in people and rate-of-change function p^'(t)={ -23.73 t^2 241.92 t 193.92 when 0.7 ≤ t< 13 -7541.28(0.8474^t) when 13< t ≤ 55. where p ' is measured in people per year. In both functions, t is the number of years