The table shows the mid-year populations of China (in

Chapter , Problem 8.3.86

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The table shows the mid-year populations of China (in millions) from 2004 through 2010. (Source: U.S. Census Bureau) (a) Use the exponential regression feature of a graphing utility to find a geometric sequence that models the data. Let represent the year, with corresponding to 2004. (b) Use the sequence from part (a) to describe the rate at which the population of China is growing. (c) Use the sequence from part (a) to predict the population of China in 2017. The U.S. Census Bureau predicts the population of China will be 1372.1 million in 2017. How does this value compare with your prediction? (d) Use the sequence from part (a) to determine when the population of China will reach 1.4 billion.

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