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) = (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.