The population of the Earth is approximately 6 billion people and is growing at an annual rate of 1.9%. Assuming a Malthusian growth model, find the world population in 44 years.
To determine the world population in 44 years using the Malthusian growth model, we need to use the formula:
P(t) = P(0) * e^(rt)
Where:
P(t) = population at time t
P(0) = initial population
e = base of the natural logarithm (approximately 2.71828)
r = growth rate
t = time period
Given:
P(0) = 6 billion
r = 1.9% = 0.019
t = 44 years
Let's plug these values into the formula to calculate the world population in 44 years:
P(44) = 6 billion * e^(0.019 * 44)
To proceed with the calculations, we need to use the value of the base of the natural logarithm e (approximately 2.71828). Let me do the math to determine the result.