(TIMED HELP) The population model describing the population of antelope in an area is:

Answer:Step-by-step explanation:The population model describing the population of antelopes in the area is Pn+1 = [1.75(Pn)^2/(Pn-1)] + 32 - Pnwhere n represents the number of years.In the first year, the number of antelopes is given as 89, to find the number of antelopes for the second year, it means we are looking for P(1+1) = P2. We will substitute 1 for n and 89 for Pn+1It becomesPn+1 = [1.75(Pn)^2/(Pn-1)] + 32 - PnP2 = [1.75×89^2 / (89 - 1)] + (32 -89)P2 = [13861.75 / 88] - 57P2 = 101To find P3, we will substitute 101 for Pn+1 and 2 for n. It becomesP3 = [1.75×101^2 / (101 - 1)] + (32 -101)P3 = [17851.75 / 100] - 69P3 = 110To find P4, we will substitute 110 for Pn+1 and 3 for n. It becomesP4 = [1.75×110^2 / (110 - 1)] + (32 -110)P4 = [21175 / 109] - 78P4 = 116To find P5, we will substitute 116 for Pn+1 and 4 for n. It becomesP5 = [1.75×116^2 / (116 - 1)] + (32 -116)P5 = [23548 / 115] - 84P5 = 121To find P6, we will substitute 121 for Pn+1 and 5 for n. It becomesP6 = [1.75×121^2 / (121 - 1)] + (32 -121)P6 = [25621.75 / 120] - 89P6 = 125To find P7, we will substitute 125 for Pn+1 and 6 for n. It becomesP7 = [1.75×125^2 / (125 - 1)] + (32 -125)P7 = [27343.75 / 124] - 93P7 = 128To find P8, we will substitute 128 for Pn+1 and 7 for n. It becomesP8 = [1.75×128^2 / (128 - 1)] + (32 -128)P8 = [28672 / 127] - 96P8 = 130To find P9, we will substitute 130 for Pn+1 and 7 for n. It becomesP9 = [1.75×130^2 / (130 - 1)] + (32 -130)P9 = [29575 / 129] - 98P9 = 131To find P10, we will substitute 131 for Pn+1 and 7 for n. It becomesP10= [1.75×131^2 / (131 - 1)] + (32 -131)P10= [30031.75 / 130] - 99P10 = 132The correct option is C