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Many people in the recording industry have been impressed by the success of Apple's iTunes Music Store. The polynomial $0.32 x^{2}-0.36 x+0.21$ approximates the number of song downloads from iTunes. When $x=0,$ the polynomial estimates the number of downloads (in billions) as of January $2004 .$ When $x=1,$ it estimates the number of downloads (in billions) as of January $2005,$ and so on. Suppose the trend continues. Use the polynomial to estimate the number of iTunes downloads as of January $2014 .$
28.6 billion downloads
Algebra
Chapter 5
Exponents and Polynomials
Section 4
Polynomials
Campbell University
Oregon State University
Harvey Mudd College
Baylor University
Lectures
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in this problem were given this expression to estimate the number of iTunes downloads in billions where X represents the number of years since January 2004. And we're interested in finding the number of downloads in January 2014 so that would be 10 years later. So that means we need to use X equals 10. So we're going to substitute 10 and for acts into the expression. So 0.32 times 10 squared minus 100.36 times 10 plus 0.21 Okay, now we're going to simplify this expression using order of operations, and the first thing to do is square the tent with 0.32 times 100 we can go ahead and multiply the 0.36 and 10 and we get minus 3.6. And at the end we have plus 0.21 This is definitely a good problem to just plugged the whole thing in the calculator in one step rather than working it out. That would be very practical to d'oh! I'm going to continue working it out. I don't have much more to go 0.32 times 100 is 32. So 32 minus 3.6 plus 0.21 Add that all together and you get 30.5. What does that mean? It's 30.5 bilion downloads according to this formula in the year 2014 maybe just in the month of January 2014 or it's as of January 2014 so maybe that's accumulated.
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