Question
The population of a country was 8.4 million people in 2000. Three years later, the population of the same nation was 9.3 million people. Assuming that population is growing exponentially, what is the projected population (rounded to one-tenth of a million) of the country in 2008?
Answers
Just plug the numbers into the good old eponential growth formula:
P(t) = Po * e^rt
P(0) = 8.4 so Po = 8.4
P(t) = 8.4 e^rt
P(3) = 9.3 = 8.4 e^3r
9.3/8.4 = e^3r
ln 1.107 = 3r
r = ln 1.107/3 = 0.0339
P(t) = 8.4 e^.0339t
P(8) = 8.4 e^0.271 = 11.0
P(t) = Po * e^rt
P(0) = 8.4 so Po = 8.4
P(t) = 8.4 e^rt
P(3) = 9.3 = 8.4 e^3r
9.3/8.4 = e^3r
ln 1.107 = 3r
r = ln 1.107/3 = 0.0339
P(t) = 8.4 e^.0339t
P(8) = 8.4 e^0.271 = 11.0
Related Questions
The population of Las Vegas, Nevada in 2000 was 478,000 and is increasing at the rate of 6.28% per y...
The population of Arizona was 4.2 million in 2000 and 6.9 million in 2008. If the population grew ex...
A country's population in 1995 was 175 million. In 2000 it was 181 million. Estimate the population...
Suppose that the population of a certain country grows at an annual rate of 6.5%. If the current pop...