Question

A country's population in 1995 was 164 million. in 2001 it was 169 million. estimate the population in 2015 using the exponential growth formula. round your answer to the nearest million

Answer 1

1995.          164 million
2001.          169 million
t = 2001 - 1995 = 6
169 =$164 * p^{6}$
 $p^{6} = \frac{169}{164}= 1.0304878 \\ p = \sqrt[6]{1.0304878}$
p = 1.00502
t 1 = 2015 - 2001 = 14
f ( t1 ) = $169 * 1.00502^{14}$
f (t1) = 169 * 1.0762 = 181.27
Answer: a country´s population in 2015 will be 181 million.