SOLUTION: Suppose an initial population of 33 million people increases at a continuous percent rate of 1.8% per year since the beginning of 2000. Write a function f that determines the po

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Question 1148951: Suppose an initial population of 33 million people increases at a continuous percent rate of 1.8% per year since the beginning of 2000.
Write a function f that determines the population (in millions) in terms of the number of years t since the beginning of 2000.
f(t)=

Determine the population (in millions) at the beginning of 2019.
million people
What is the annual growth factor for the population?

If a represents the population (in millions) at some point in time, write an expression in terms of a to represent the population exactly 1 year later.


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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(a)  f(t) = 33%2A%281+%2B+0.018%29%5Et = 33%2A1.018%5Et millions people;  t in years since the beginning of 2000.



(b)  The problem does not give any information and any rationality to extrapolate back. 



(c)  Annual growth factor is  1+0.018 = 1.018.



(d)  If "a" represents the population (in millions) at some point in time, then an expression in terms of "a" to represent 

     the population exactly 1 year later  is  b = a*1.018.


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