Potation in 1980 was 100000 and has experienced a 12 decline

Potation in 1980 was 100,000 and has experienced a 12% decline each year. Develop a mathematical model that represents the crocodile population each year since 1980 to this year and ten years beyond. Show the predicted crocodile population in a table. Provide written evidence that demonstrates your understanding of the environmental issues caused by the. What environmental can you make based on your data? W hat plan of action do you suggest for preventing the extinction of the Australian freshwater crocodile?

Solution

In 1980, population = 1,00,000

everey year it decreases by 12% every year

So, 1981 , Pop= 100000(1-0.12) = 100000*0.88 = 88000

1982 ; Pop = 100000*0.88(1 - 0.12) = 100000*0.88^2 = 77440

1983 ;Pop = 100000*0.88^2(1 - 0.12) = 100000*0.88^3 = 68147

and s o on....   1990 ; Pop = 100000(0.8)^10 = 27850

So, mathematical model to reprsent population:

P(n) = 100000(0.88)^n where n is no. of years since 1980