Predicting World Population in 2020 Using Exponential Growth

TLDR; The video explains how to use exponential growth to predict the world population in 2020.

💡 World Population in 1985

The world population was 4.8 billion in 1985.

The estimated growth rate was 1.8% per year.

This sets the stage for using an exponential growth model to predict the population in 2020.

📈 Using Exponential Function

The exponential function P of T = P0 x e^(k x T) will be used to solve the problem.

Here, P of T represents the population after T years, P0 is the initial population, k is the annual growth rate expressed as a decimal, and T is the time in years.

This lays the foundation for applying the exponential function to find the projected population in 2020.

🔢 Given Information

The starting population is 4.8 billion, denoted as P0 = 4.8 billion.

The annual growth rate, expressed as a decimal, is 0.018 (1.8%).

The task is to find the population in the year 2020, which is 35 years after 1985.

⚙️ Calculating Projected Population

The function P of T = P0 x e^(k x T) is utilized to calculate the population in 2020.

Substituting the values, P of 35 is found to be approximately 9.01 billion.

The rounding to two decimal places results in the projected population in 2020 being 9.01 billion.