Asked by Andy G
The population of the US in 1850 was 23191876. In 1900, the population was 62947714.
a. assuming that the population grew exponentially, compute the grownth constant.
b. assuming continued growth at a constant rate, predict the population in 1950.
a. assuming that the population grew exponentially, compute the grownth constant.
b. assuming continued growth at a constant rate, predict the population in 1950.
Answers
Answered by
Reiny
let t=0 correspond with the year 1850
then 1900 ---> t = 50
then 1950 ---> t = 100
population = a( e^(kt) ) , where a is the initial population and t is the number of years since 1850
23,191,876 = a e^0
a = 23,191,876
then:
62,947,714 = 23,181,876 e^(50k)
2.715384812 = e^(50k)
50k = ln(2.715384812 )
k = .019978673
in 1950
pop = 23,191,876 e^(100( .019978673))
= 170,927,267
then 1900 ---> t = 50
then 1950 ---> t = 100
population = a( e^(kt) ) , where a is the initial population and t is the number of years since 1850
23,191,876 = a e^0
a = 23,191,876
then:
62,947,714 = 23,181,876 e^(50k)
2.715384812 = e^(50k)
50k = ln(2.715384812 )
k = .019978673
in 1950
pop = 23,191,876 e^(100( .019978673))
= 170,927,267
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.