World Population Models

The function describes the world population (in billion) at time t, where t = 0 on January 1, 2000.

Linear Model

Exponential Model

World Grain Supply

The supply function was derived using two factors: area cultivated, measured in billion hectares, and yield per hectares, measured in kilograms per hectare. The supply function is

The function describes the world grain supply (in billion kilograms) at time t, where t = 0 on January 1, 2000.

Area

where t = 0 on January 1, 2000.

Yield

where t = 0 on January 1, 2000.