January 17th Tyler Hooper
- This graph shows the relationship between the annual family income and the SAT test scores of a child from that family. It contains the results of the three parts of the SAT's. The graph argues that as a family's annual income increases so do the test scores on the critical reading, math, and writing sections of the SAT.
- This function is not linear because it does not make a straight line on the coordinate plane. However, the average rate of change is always increasing dependent upon the average income.
- Yes, this is a mathematical model because the family income is dependent on the test scores. The function notation for this model would be t= f(i). t stands for test score and i stands for income.
- This graph shows mortgage debt in the United States and Australia. However this is not a function because the graph is just a comparison. There is no relationship between the two countries.
Tyler it was very interesting to see your post. I enjoyed reading it and think you did a great job analyzing why the above graph is a function. Nice job!
ReplyDeleteI found these graphs really interesting ! and very good explanation ! Good job :)
ReplyDeleteCould the two debts be seen as a function if you looked at both of them separately? This was a very good example, by the way!
ReplyDeletetyler,
ReplyDeletevery interesting examples. good job on the first graph and most of your explanations of it. note that there are three separate functions here relative to income, also, i don't think the relationships are mathematical models. income has nothing to do with how well one does on a standardized exam. there are too many other factors to isolate income as one of them.
for your second example, you actually have two separate relationships again, both of which are functions. each line represents a function that passes the vertical line test.
professor little