Y2- Y1 / X2 - X1 = 0 - 8000000 / 2005-2004 = 8000000
Y2 - Y1 / X2 - X1 = 100 000 000 - 50 000 000 / 2008 - 2007 = 50 000 000
It is a mathematical model, where f(x)=y, where x is time and y is number of users.
B) The table I found that represents a mathematical model but not a function is the fastest someone's run a mile. This is not a function since the running time is independent of the year It's not actually the difference between year "x" and year "y" that sets the records.
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ReplyDeleteWhat was the fastest time?
ReplyDeleteGreat job organizing your stuff!
ReplyDeleteIm also glad you touched on the importance of dependency in mathematical models and managed to use a mathematical model that wasn't a function.
That's so interesting how the math is applied to Facebook!
ReplyDeletekarolina,
ReplyDeleteyay! i really love your first example. you used a social media example explain math in a social media format. love it! your explanations for why it is a function and why it is not linear were spot on! however, i do not think that this example constitutes a mathematical model. users are not entirely dependent on year. you could argue that increased popularity happens over the years, but still popularity could go down next year and then it wouldn't really fit the definition for mathematical model.
for your second example, running time being independent of year is not a valid reason for why a relationship is not a function.
professor little