Question

a in in 2000, the population of a country was approximately 5.51 milion and by 2050 it is projected to grow to 10 milion. Use the exponential growth model A.Ap which is the number of years after 2000 and is in millions, to find an exponential growth function that models the data. By which year will the population be 13 million? b. 2000 6,510,00 1950 1970 1900 2010 2030 2050 a. The exponential growth function that models the data is A (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) b. The country's population will be 13 million in the your (Use the answer from part to find this answer. Round to the nearest year as needed)

Answer 1

he required exponential growth model for population be A=Ae&t where A-initial population A population after t yearl given, initial population (ie the population in the year 2000), A = 5.51 million given in 2060 lie for to 60), the population will be to . 1025.510 (60) > 1.814882 - ebok taking log (natural) both sides In(1-814882) = bokla(e) 0.596020 = 60k Piln(e) =) k=0.596020 → K = 0.009934 .: A= sosie oogg34 t - a (6 putting A=13 in 6 13=5.slev.009934 € 13 e009934t 2. 359347 = po 009934t taking log (natural) both sides In 2.359347) = or0g934 € 0. 858385 0.0019341 t=0.858385 0.003934 86 the population will be 13 million in the year 2000 +86 = 2086)