(b) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per year. (i) Assuming that this growth rate continues, derive a model to represent the population P...

(b) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per year.

(i) Assuming that this growth rate continues, derive a model to represent the population P (in billions of people) in year t.

(ii) From the model derive in (i), approximately when will the population of the world be 11.2 billion people?