The population of the earth is approximately 6 billion people and is growing at an annual growth rate of 1.9%. Assuming a Malthusian growth model, find the world population in 45 years. Round your answer to the nearest tenth.
A) 12.4 billion
B) 14.8 billion
C) 12.1 billion
D) 14.1 billion

Question

Quizplus · Accepted Answer

According to the Malthusian growth model, the population grows exponentially over time. Using the formula for exponential growth, P = P0 * e^(rt), where P is the population after time t, P0 is the initial population, e is the base of the natural logarithm, r is the annual growth rate, and t is the time in years, we can calculate the world population in 45 years as follows:

P = 6 billion * e^(0.019 * 45)
P ≈ 14.1 billion

Therefore, the best choice is D.

The Population of the Earth Is Approximately 6 Billion People