Industry Standard states that "independent Twitter data shows exponential tweet growth." GigaTweet, an independent tweet-counting service, reports that the number of tweets was 5.0 billion in October 2009. In April 2009, the number of tweets was 1.6 billion. (a) Develop the exponential growth model that fits with these data, where t is the number of months after April 2009 and p is the number

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...
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An October 2009 article in The Industry Standard states that "independent Twitter data shows exponential tweet growth." GigaTweet, an independent tweet-counting service, reports that the number of tweets was 5.0 billion in October 2009. In April 2009, the number of tweets was 1.6 billion.

(a) Develop the exponential growth model that fits with these data, where t is the number of months after April 2009 and p is the number of tweets in billions. (Round the coefficient of t to seven decimal places.)
p(t) = 
 
 
 


(b) Use the model to predict when there will be 35.0 billion tweets. (Round your answer to the nearest whole number.)
 ___months after April 2009
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