Question

A Country's population in 1990 was 123 million. In 2002 it was 128 million. Estimate the population in 2013 using the exponential growth formula. Round your answer to the nearest million

Answer 1

I got 132.762, so rounded to the nearest million that would be 133

Answer 2

First find k :
p=A^e (kt)
128=123e^(kt)
1.04065=e^(12k)
In(1.04065)=12k
k=In(1.04065)/12=0.0033
To solve;
p=128e^(0.0033)(1)=128(1.0033)
=128.423~128 million

Answer 3

P2 = P1 exp(kt) exponential growth

123 = 128 exp(12 k)

12 k = ln(123/128) find k

P3 = 128 exp(11 k)