1a) This function represented in a graph shows the correlation between total population in an area and the number of people living under the poverty line. Every district area has one image dependent solely on the number of people under the poverty line in comparison to the total local population. This function is not a linear function because the rate of change is not on a constant growth or loss curve. This is a mathematical model because the outcome, the percentage of people living under the poverty line is dependent on the input the population.
http://www.nytimes.com/newsgraphics/2014/01/05/poverty-map/?ref=multimedia
1b) Here the relation between the deliberation time and the verdict is not a function because the outcome the verdict does not depend on the time spend on the deliberation. Although the relation between the deliberation and therefore the time taken to reach a verdict is a significant relation, there is neither an input nor an output in this scenario.
http://www.usatoday.com/story/news/nation/2014/01/17/ricin-georgia-guilty/4592157/
helene,
ReplyDeletei really like your first example. that's a cool interactive map! i am not sure if i would say that the relationship represents a mathematical model, though. in one area the population could be 1000 people but the poverty percentage is 10%, and then another area could have the same population with a poverty percentage of 29% or something like that. i don't think there is a correlation here. there may be other correlations that affect the poverty level, though.
your second example is interesting, but it is indeed a function. you are correct that verdict does not depend on deliberation time, however, this is the criteria for not being a mathematical model. the relationship is still a function.
professor little