A national census bureau predicts that a certain population will increase from 33.7 million in 2000 to 62.6 million in 2070. Complete parts​ (a) through​ (c) below.
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Part 1
​(a) Find an exponential function of the form ​f(t)equalsy 0 b Superscript t for these​ data, in which tequals0 corresponds to 2000 and​ f(t) is in millions.
​f(t)equals
  
33.7 left parenthesis 1.02 right parenthesis Superscript t
​(Use integers or decimals for any numbers in the expression. Round to four decimal places as​ needed.)