Question

In 2006 the population of the country was 30.3 million. This represented an increase in population of 4.7% since 2001 . What was the population of the country in 2001

Answer 1

The population in 2001 was = 23.95 millions

Explanation:

Given

Population in 2006 = 30.3 million

Rate of growth since 2001 = 4.7%

To find the population in 2001.

Solution:

The population growth formula is give as:

`P=P_0* e^(rt)`

`P\rightarrow` New population

`P_o\rightarrow` Initial population

`r\rightarrow` rate of growth

`t\rightarrow` time

Data given to us:

New population
`P` (2006) = 30.3 million

Rate = 4.7% = 0.047

Time =
`2006-2001`= 5 years

Plugging in the data in the formula.

`30.3=P_0* e^(0.047* 5)`

`30.3=P_0* e^(0.235)`

`30.3=P_0* 1.265`

Dividing both sides by 1.265

`(30.3)/(1.265)=(P_0* 1.265)/(1.265)`

`23.95=P_o`

∴
`P_o=23.95`

Thus, population in 2001 was = 23.95 millions