# Population Growth

• November 30th 2008, 09:58 PM
magentarita
Population Growth
According to the two censuses, the population of a country in 1980 was 4 million and in 1992 it was 9 million. assuming the population grows at the same rate(exponentially), what is the population of the country in 1995?
• November 30th 2008, 11:47 PM
janvdl
Quote:

Originally Posted by magentarita
According to the two censuses, the population of a country in 1980 was 4 million and in 1992 it was 9 million. assuming the population grows at the same rate(exponentially), what is the population of the country in 1995?

First we must find the rate at which it is increasing.

$P(t) = P(0)e^{kt}$

$P(0) = 4 000 000$

$P(12) = 9 000 000 = 4 000 000 \ e^{12t}$

$t = \frac{\ln \left( \frac{9}{4} \right)}{12} = 0,0675$

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And then simply plug it in.

$P(15) = 4 000 000 \ e^{15 \times 0,0675} = 11 022 704 \ approx.$