The population of a certain country in 1997 was 289 million people. In​ addition, the population of the country was growing at a rate of 0.8​% per year. Assuming that this growth rate​ continues, the model P(t)=289(1.008) ^ t−1997 represents the population P​ (in millions of​ people) in year t. According to this​ model, when will the population of the country reach each of the​ following?       ​(a) The population of the country will reach 309 million people during the year  ?    (Round down to the nearest whole number as​ needed.)   ​​(b) The population of the country will reach 367 million people during the year  ?   ​(Round down to the nearest whole number as​ needed.)   please answer in the question mark (?).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The population of a certain country in 1997 was 289 million people. In​ addition, the population of the country was growing at a rate of
0.8​% per year. Assuming that this growth rate​ continues, the model
P(t)=289(1.008) ^ t−1997 represents the population P​ (in millions of​ people) in year t. According to this​ model, when will the population of the country reach each of the​ following?
 
 
 
​(a) The population of the country will reach 309 million people during the year  ? 
 
(Round down to the nearest whole number as​ needed.)
 
​​(b) The population of the country will reach 367 million people during the year  ?  
​(Round down to the nearest whole number as​ needed.)
 
please answer in the question mark (?).
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