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.