Question

A country's population in 1995 was 184 million. in 2002 it was 188 million. estimate the population in 2006 using exponential growth formula. round your answer to the nearest millions?

Answer 1

P = A.e^(r.t) is the population growth formula, where A is the initial population in a given year, exponent "r" =growth rate and exponent t = time

A₍₁₉₉₅₎ = 184 Mil. after t = 7 years, P₍₂₀₀₂₎ = 188 Mil

Let's calculate te growth rate:

P₍₂₀₀₂₎ = A₍₁₉₉₅₎.e^rt

188 = 184.e(^7r)

188/184 = e^(7r)

ln(188/184) = 7.r.lne
 0.0215 = 7.r   and r = 0.0030 = 0.3%

Population in 2006

P₍₂₀₀₆₎ = P₍₂₀₀₂₎.e⁽⁰.⁰⁰³ˣ⁴

P₍₂₀₀₆₎ = 188.e⁰.⁰¹² = 190.2 Mil