Part
a:
http://www.theatlantic.com/health/archive/2014/01/how-much-do-we-sleep-americans-dont-know/283148/call
the criteria for determining relationships that are functions.
This article shows the relationship of how many hours of sleep US
citizens get from the years 1942, 1990, 2001, 2004, and 2013. It shows the rise in recent years of people
getting less sleep per night. The
function is not linear because the numbers vary and there is no average rate of
change that can be calculated. For
example in the category of Five hours of sleep or less, the percentages varied
from 3, 14, 16, 14 and 14 in their corresponding years. The output is not dependent on the input, or
the amount of sleep is not dependent on what year the data was taken, therefore
it is not a mathematical model.
Part
b:
http://www.theatlantic.com/business/archive/2014/01/the-growth-of-college-grads-in-dead-end-jobs-in-2-graphs/283137/
This article is about recent college graduates and the jobs
that they have which do not require a degree, essentially making them
underemployed for their education level.
The
first graph is titled Underemployment Rates for College Graduates. This shows the relationship between recent
college graduates and their unemployment percentage from 1990 to 2012. The relationship is not a function because
the output is not dependent on the input; the numerical year does not have an
effect on the percent of the college graduates underemployed.
This is an interesting article about sleep, I didn't know that people were getting less and less each year!
ReplyDeleteI really liked your examples!
ReplyDeletehi, juliana,
ReplyDeleteboth of your examples are really good! note that there are five different functions represented in the table in your first example. Your explanations of the relationships in the first example are spot on! nice and accurate use of math vocab!
your second example is also good, however, there are two separate relationships and they both ARE functions. You are correct in noting that they are not mathematical models, however. make sure you understand when relationships are NOT functions.
professor little