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.
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 =...
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