Answer:
The population in 2001 was = 23.95 millions
Step-by-step 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:
[tex]P=P_0\times e^{rt}[/tex]
[tex]P\rightarrow[/tex] New population
[tex]P_o\rightarrow[/tex] Initial population
[tex]r\rightarrow[/tex] rate of growth
[tex]t\rightarrow[/tex] time
Data given to us:
New population [tex]P[/tex] (2006) = 30.3 million
Rate = 4.7% = 0.047
Time = [tex]2006-2001[/tex]= 5 years
Plugging in the data in the formula.
[tex]30.3=P_0\times e^{0.047\times 5}[/tex]
[tex]30.3=P_0\times e^{0.235}[/tex]
[tex]30.3=P_0\times 1.265[/tex]
Dividing both sides by 1.265
[tex]\frac{30.3}{1.265}=\frac{P_0\times 1.265}{1.265}[/tex]
[tex]23.95=P_o[/tex]
∴ [tex]P_o=23.95[/tex]
Thus, population in 2001 was = 23.95 millions
