Question

Answer 1

Pet) = Poekt exponentia, moda Where Plo) = lo 1800 t=0 Po = 5.3 million Pool = 23. mittion 1850 +250 P/50) = Po ek(50) 23.105.3 ekso eKTO: 23-1 Q-3 Sok = log (28-1) -log(5.3) K= log (23.1) = log(5:3) K = 0.029,44 K 50 exponential modal 0.02944 Pet) = 5.3e 1900 1950 t=100 to 150 0·029448100 1007 Poo) = 3.3 e P(100) = 5.3 e 0029448100 438.8

"The population in 1990 was actually proo) = 76 million. We need to consecr the prediction for 1950 using logistic modal K P(t) = + Aekt K-Po Po K. :23) 1 + K-5 -3 -KTO 5.3 53* = (53 +k-s-seksj.23) A = ( P(50) = e K = 0.031476 5.3K = 122.43+4.7876-25.374 0.518K = 93.056 K = 189.37 A = 189-37-9.3 5.3 A = 34.73 Plt) = 189.37 H 34.73€ --00314967 P(150) = 144.7 million Carrying capacity = 189.87