Question

In 2012, the population of a city was 5.42 million. The exponential growth rate was 1.75% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018 c) When will the population of the city be 9 million? d) Find the doựbling time a) The exponential growth function is (t) = where t is in terms of the number of years since 2012 and P(t) is the population in millions (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation) Enter your answer in the answer box and then click Check Answer parts Clear All Check Are remaining

Answer 1

ex Ponential growth rate = 1757 1 year Answer population in 2012 5.42 So - sa = 5.42 million Y Y-1.753, 2e t 175 i o y = City) y. 5-421 1+ hits) = 5.42 (1+0.0175j2 Ty 5.426 60175) y x (a) growth rate funtion n million ♡ 5.12 ( 130125) y = population = years after 2012 (b) population in 2018 2010 - 2012 y = 5.42 (1.0179 y = 5.42 y lo 709 7 = 6.ol million

I million. e population Us? 9 1.6605/ 5:42 ( 10/15) (tolts - 9 5.42 11.66051) 191.0175) 1.66051 29.23 W = In 1.0175 year. 2012 + 29.23 year = 204123 So In 2042 population af cely will be g million (d) dubling time 320? y = 285.42 so 285-42 = 5-42 (1-0175) ? 2 1:0175? 2 In 2 in OTTS = 39.95 24 - so dubling time is 39.95 years

in last part, if you round off it will become 40 years

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