the population of the world in 1987 was 5 billion and the continuous growth rate was estimated at 2.1% per year. assuming that the world population follows a continuous exponential growth model, find the projected world population in 2012

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Xaioo

Answer:

[tex][/tex] We can use the formula:

P = P0 × e^(rt)

Where:

P = the projected world population after a certain time period

P0 = the initial population = 5 billion

r = the continuous growth rate = 2.1% or 0.021

t = the number of years from 1987 to 2012 = 25

e = Euler's number, approximately equal to 2.71828

Plugging in these values:

P = 5 billion × e^(0.021×25)

P = 5 billion × e^0.525

P = 5 billion × 1.690902

P = 8.45451 billion

Therefore, the projected world population in 2012 based on the continuous exponential growth model with a growth rate of 2.1% per year would be approximately 8.45451 billion.

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