In 2000, the population of a country was approximately 6.49 million and by 2097 it is projected to grow to 16 million. Use the exponential growth model A=A0ekt, in which t is the number of years after 2000 and Upper A 0 is in millions, to find an exponential growth function that models the data. b. By which year will the population be 1414 million?
The exponential function to model the population of the country after t years is given by A_t = 6.49*10^6*e^(9.302*10^-3*t). The population of the country is 1414 million in the year 2579.
- print Print
- list Cite
Expert Answers
Tushar Chandra
| Certified Educator
calendarEducator since 2010
write12,551 answers
starTop subjects are Math, Science, and Business
The population of a country in the year 2000 was 6.49 million. It is projected to increase to 16 million by the year 2097.
The population of the country after t years can be expressed by the function:
`A_t = A_0*e^(kt)` , where `A_0 = 6.49*10^6` , `A_97 = 16*10^6` and `t =...
(The entire section contains 115 words.)
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Related Questions
- You can model the population of a certain city between the years of 1970 and 2000 by the radical...
- 1 Educator Answer
- Calculate the approximate number of years it will take for real GDP per person to double if an...
- 1 Educator Answer
- You can model the population of a certain city between the years of 1955 and 1995 by the radical...
- 1 Educator Answer
- Alberta has a population growth rate of 3.1% per year. Its population in 2007 was approximately...
- 1 Educator Answer
- A population of 500 E.coli bacteria doubles every 15 minutes. Find what the population would be...
- 1 Educator Answer