Question

A country's population in 1995 was 65 million. In 1998 it was 69 million. Estimate the population in 2006 using the exponential growth formula. Round your answer to the nearest million.

Answer 1

Hello,

year x y
1995 0 65
1998 3 69
2006 11 ?

y=b*e^(ax)

if x=0 then y=65 ==>65=b*e^0==>b=65

if x=3 then y=69 ==>69=65*e^(3a)
==>e^(3a)=69/65
==>3a=ln(69/65)
==>a= ln (69/65) /3
==>a=0,019906411...

if x=11 then y=65*e^(0.019906411...*11)
==>y=80,911648...≈81 (millions)

Answer 2

80 million. 2001= 73 million. 2004=77 billion. 2007=81 million. Take away a year, maybe take away one million.