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Friday, January 17, 2014

Whats your function?



Part A:
My online periodical is the Washington post. Here I found a very interesting article called 40 charts that explain the world, from the 40 charts I chose #12 which is called “Leaving most of the remaining poor in Sub Saharan Africa. The description of the graph mentions how sub Saharan poverty rates are falling however not as fast as China or India. This graph also portrays that the number of poor people is rising however not as fast as the total population.  The graph on the x axis has years, the range is between 1981 to 2010. While the y- axis the number of poor in millions, starting at 0 and ending in 2000 million. The graph shows many different countries however in order to show if this is linear or not I am going to use the information given for China.
720- 835   115             683    -  586             97
1984-1981   3                  1990 – 1987       3
 

As we can observe this is not a linear function because the average rate of change is not the same.  For the first one it is 115/3 and for the second one is 97/3.
The graph is a mathematical model, this is because it is a bar graph, it portrays a real life situation and by looking at the information you may forecast the future. 

Part B:
 A relationship that is not a function
One the same article called 40 charts that explain the world I found another interesting news called “Its not all roses, of course. Greenhouse gases are making the world hotter than ever. The x- axis of this graph shows years again ranging between 1881 to 2010. While the y-axis contains global temperature between 13.400 and 14.500 (c). The graph shows that as years have gone by the temperature has been rising massively and this has led to new records of temperatures around the globe.  This is another example of a non linear equation, we are going to prove it below.
13.68 -13.67        0.1                  13.64- 13.59    0.5
1891-1881         10                       1911- 1901    10

The above shows that the average rate of change is not the same this is because the slope doesn’t  match  in each one therefore this is not a linear function.

4 comments:

  1. It was really interesting to read about the graph and article you chose for Parts a and b, I looked up the article myself and it was definitely really interesting to read about and see all of the different 40 charts describing different things happening all over the world.

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  2. Very interesting! Also, I wonder how accurate the predictions would be? Since it's not directly linear no one can know for sure, never the less it seems to be moving in the right direction!

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  3. Quite interesting! The relationships portrayed were quite relative. So much data seems to be non-linear, I wonder why.

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  4. gabriela,

    your first example is interesting and a good example. your explanation for mathematical model, however, is not the definition that we have discussed in class. a mathematical model is a function whose outputs depend on inputs. i don't believe that is the case here.

    you are correct that the relationship in your second example is non linear, however, the goal of the second part was to find a relationship that is not a function at all.

    good job otherwise!

    professor little

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