Music In the first few years following the introduction of a popular product, the number of units sold per year can increase exponentially. Consider the following table, which shows the sales of portable MP3 players for the years 2000รข€“2005.
Year | Number of Units Sold (in millions) |
2000 | 0.510 |
2001 | 0.724 |
2002 | 1.737 |
2003 | 3.031 |
2004 | 6.972 |
2005 | 10.052 |
(a) Make a scatter plot of the data and find the exponential function of the form f (x) = Cax that best fits the data. Let denote the number of years since 2000.
(b) Use the function from part (a) to predict the number of MP3 players sold in 2007.
(c) Use the function from part (a) to determine the year when the number of MP3 players sold equals 21 million units.
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