The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 1989 . Your answer is

To find the projected world population in 1989, we can use the formula for exponential growth: P(t) = P0 * e^(rt) Where: - P(t) is the future population - P0 is the initial population (5 billion in 1987) - r is the growth rate (0.02 for 2%) - t is the time in years (2 years from 1987 to 1989) - e is the base of natural logarithms (approximately equal to 2.71828) Plugging in the values: P(2) = 5 billion * e^(0.02 * 2) First, calculate 0.02 * 2 = 0.04. Then, find e^0.04, which is approximately 1.04081. Now, multiply: P(2) ≈ 5 billion * 1.04081 ≈ 5.204 billion. So, the projected world population in 1989 is approximately **5.2 billion**. In the late 20th century, concerns surrounding population growth spurred debates on sustainability, resource management, and environmental impacts. Globally, many countries grappled with the implications of a rapidly growing populace, leading to initiatives in family planning, education, and women's rights to stabilize growth rates without compromising development. Today, understanding population dynamics is crucial for policymakers and economists. With advancements in data analysis and technology, experts can better predict growth patterns, enabling informed decisions on resource allocation, urban planning, and environmental conservation. Sustainable practices are key to addressing the challenges posed by population increases.