1. The graph that I found relates how many years of education one has and how much the average salary is per years of education.
2. In order to be a function, every input must have exactly one input
3. The graph can be found with the link provided below:
http://soc101.wordpress.com/2006/10/28/education-pays-income-by-education-level/
4. By looking at the graph, one can infer that the more education a person, the higher their salary will be
5. No, the function is not linear
7. I determined this because the rate of change between the points were not the same
8. The function is a mathematical model, because the amount of time you put into your education has a direct correlation with how much money you are going to earn in your career
Part B:
3. Students' ages and heights would be a good example of something that would not be a function
4. I know that this would not be a function because there can be more than one height for each age, and vice verse. If the input has more than one output, then it is no longer a function. Visually, I could use the vertical line test to see if it passes as a function or not.
Caitlyn, this is a very interesting, and in most cases true function. I know that in some jobs, having a higher degree in education automatically gives an individual a higher paygrade.
ReplyDeleteI would be interested to know how this graph would look across the years and how the difference between a salary with a BA and a salary with a MA varies over the years. Would the difference stay relatively the same regardless of the amounts of were these two figures once much similar or, perhaps, irrelevant.
ReplyDeleteIt would be interesting to take a look at this data set in today's terms. I believe that the average salary of somebody with a high school or no degree has increased, but taking a further look at the BA and advanced degrees would be worthwhile.
ReplyDeleteAs this function is not linear due to the inconstant of the the rate of change. This shows a larger gap between a person who gets from high school to college than form no diploma to high school. By going from high school to bachelors degree a person makes $22909 more. While going from no diploma to high school a person can only make $9476 which is a lot less.
ReplyDeleteI used the same graph and thought it was really interesting information.
ReplyDeletecaitlyn,
ReplyDeleteextraordinary job! you did wonderfully at explaining both relationships. with regards to your second example i would specify that when talking about the ages, it would be individual ages and not average ages. if you talking about average ages, this would not meet the non-function criteria because there would be one height for each age.
nice job, otherwise.
professor little