Question
The population of a particular country was 29 million in 1985; in 1997, it was 38 million. The exponential growth function describes the population of this country t years after 1985. Use the fact that 12 years after 1985 the population increased by 9 million to find k to three decimal places
Answers
Steve
p(t) = ce^(kt)
p(0) = 29, so c=29
p(12) = 38
29e^(12k) = 38
Now just solve for k
p(0) = 29, so c=29
p(12) = 38
29e^(12k) = 38
Now just solve for k