๐Ÿ“ˆ Understanding Exponential Growth

Key Concept: Population grows exponentially when there are no limits.

Exponential Growth Formula

P(t) = Pโ‚€ ร— e^(kt)

P(t) = Population at time t
Pโ‚€ = Initial population
k = Growth rate
t = Time

Try It Yourself!

Population: 16,912,800

Year: 2022

๐Ÿ“Š Graphing Growth

Plotting population over time helps visualize growth patterns.

๐Ÿ™๏ธ Provincial Comparison

Calculate growth rates for different provinces.

2010 Population: 2,191,225

2022 Population: 3,078,542

Growth Rate: 3.4%

2030 Projection: 4,032,456

๐Ÿ“ Practice Problems

Problem 1

A city has 500,000 people and grows at 3% per year. What will be the population after 10 years?

Problem 2

Zambia's population doubled from 2.32M (1950) to 4.64M. How many years did it take?

Problem 3

If a population grows from 1M to 2M in 20 years, what is the growth rate?