Ass tha th sgrowth rate The popula on of count yn19 was 28 m on po ple In addto

Question

Ass tha th sgrowth rate The popula on of count yn19 was 28 m on po ple In addto the popula on of the country was gr continues, the model Pm-2001 0001999 represents the population p (in milions of people) in year t According to this model, when will the population of the country reach (a) 336 million people? (b) 369 million people? ng at a rate of 0 9% per year n a certain (a) The population of the country wil reach 336 mon peop1e during the year[ (Round down to the nearest whole number as needed)

Explanation / Answer

P(t) = 280 ( 1.099)^t-1999

a) 336 = 280 (1.099)^t-1999

336 / 280 = ( 1.099)^(t-1999)

ln ( 336 / 280 ) = ( t - 1999) ln (1.099)

t = 2001

hence, the population will reach 336 million people in the year 2001

b) 369 million people

369 = 280 (1.099)^t-1999

369 / 280 = ( 1.099)^t-1999

ln ( 369 / 280 ) / ln (1.099 ) = t - 1999

t = 2002

population will reach 369 million in the year 2002

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