Part A:
4. Explain in words the meaning of
this relationship.
This is the relationship between
miles that can be driven to the amount of gas put into a car that is measured
as miles per gallon (fuel efficiency) of light duty cars over the years.
5. Determine whether the function is
a linear function.
This would not be a linear function.
7. If the function is not linear,
explain in detail how you know it is not linear (be sure to refer to the
average rate of change).
This function is not a linear
function because it does not have a constant rate of change over each year that
the data was recorded.
8. Determine whether the function is
a mathematical model (be sure to use function notation.
Yes this is a mathematical model
because it measures fuel efficiency which is the relationship of how much gas
can be put into a car and that directly effects how many miles that you can
drive.
Part B:
1. Recall the criteria determining
relationships that are not function.
2. Find an online periodical with a
relationship that is not a function.
3. Explain in words the meaning of
this relationship.
The article focuses on the current leaders of assist to turnovers
in the NBA. The relationship involves how many assists NBA players have so far
in the season per turnover that they commit.
4. Explain in detail how you know the
relationship is not a function.
This would not be considered a function because the assists do not
directly impact the turnovers it is just a comparison as well as the turnovers
do not directly affect the assists. You can have 10 turnovers but it does not
affect your assists.
Part C:
1. After completing your blog entry, thoughtfully
and critically comment on the posts of members in your blog group.
You have great examples. I could have never thought about examples like fuel efficiency and NBA statistics.
ReplyDeleteVery interesting post, your explainations are clear and concise
ReplyDeletejalen,
ReplyDeleteyour first example is perfect. you explained everything well and paid close attention to mathematical vocabulary. i really like the graph that you chose. remember to specify which quantity is the output and which is the input. otherwise good job on this part!
your second graph is good, but there are several relationships in this table relative to time that are functions. the fact that assists to not affect turnovers means that that relationship is not a mathematical model, but it is still a function. there are no repeated input values and if you were to graph the relationship, it would pass the vertical line test. keep these this in mind in the future.
professor little
I think your first example is brilliant. It is a great illustration. This is a crucial relationship that perfect use everyday that most people do not think about.
ReplyDelete