On January 1 2017 the world population was 7 362 350 168 and

On January 1, 2017, the world population was 7, 362, 350, 168 and is growing at 1.05% per year. Create a formula for the world population as a function of time since 2017, then predict the world population for 2050. Currently there is about 7.68 billion acres of arable land, however, it is reducing by 24 million per year. Create a formula for the acres of arable land as a function of time since 2017. Use this formula to predict how much arable land there will be in 2050. Calculate how much arable land there will be per person in 2050. It is estimated that we need 1 arable acre per person in order to have enough food. When will there be less than 1 acre of arable land per person? Write a persuasive paragraph about one aspect of what you learned by doing these calculations.

Solution

1) Jan1 , 2017 population ---- 7,362,350,168 (intial population)

incerease every year = 1.05%

Exponential formula to predict the population :

P(n) =Po(1.05)^n

P(n) = 7,362,350,168(1.05)^n

So, in 2050 , n = 33

P(33) = 7,362,350,168 (1.05)^33 = 36835226002.98