A country’s population in 1994 was 32 million estimate the population in 2003
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Answer:
36 million is the answer.
Step-by-step explanation:
In the question given parameters are population in 1995 = 32 million
Population in 1997 = 34 million
Exponential growth formula is [tex]P = Ae^{kt}[/tex]
And we have to find out the population in 2003.
Here From this formula initial population in 1995 [tex]P=Ae^{k\times 0}=32[/tex]
Or P = A = 32 million
Now population in 1997
[tex]P=32e^{k\times 2}=34[/tex]
[tex]e^{k\times 2}=34/32=17/16[/tex]
[tex]log(e^{2k})=log(\frac{17}{16})[/tex]
[tex]2k=log17-log16[/tex]
[tex]2k=0.0263[/tex]
[tex]k=0.0131[/tex]
Now Population in 2003
[tex]P=32e^{.0131\times 8}=32e^{0.105}[/tex]
P = 32×1.11 = 35.54 million ≅ 36 million