Assign 2 002

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course mth 173

01/17 11am

If your solution to stated problem does not match the given solution, you should self-critique per instructions at

http://vhcc2.vhcc.edu/dsmith/geninfo/labrynth_created_fall_05/levl1_22/levl2_81/file3_259.htm

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Your solution, attempt at solution. If you are unable to attempt a solution, give a phrase-by-phrase interpretation of the problem along with a statement of what you do or do not understand about it. This response should be given, based on the work you did in completing the assignment, before you look at the given solution.

002.

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Question: `qNote that there are four questions in this assignment.

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Question: `q001. Recall the stock value problem, where March, July and December values were $5000, $5300 and $5500.

Construct a graph of stock value vs. number of month (e.g., 1 for Jan, 2 for Feb, etc.). You will have three points on your graph, one corresponding to the March value, one to the July value, and one to the December value. Stock value will be on the y axis and month number on the x axis. Your first point, for example, will be (3, 5000), corresponding to $5000 in March.

Connect your three points with straight lines--i.e., connect the first point to the second and the second to the third.

What is the slope of your line between the first and second point, and what is the slope of your line between the second in the third point? Recall that slope is rise / run.

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Your solution:

For the slope of the line between my first and second point my slope is from 3 to 7 = 4 spaces for the rise and from 5000 to 5300 = 3 spaces for the run  4/3. For the slope of my second line between my second and third point my slope is from 7 to 12 = 5 spaces for the rise and 5300 to 5500 = 2 spaces for the run  5/2.

confidence rating #$&*: 3

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Given Solution:

`aThe three points on the graph are (3, 5000), (7, 5300) and (12, 5500).

The rise between the first point and the second is from 5000 to 5300, or 300, and the run is from 3 to 7, or 4, so the slope is 300 / 4 = 75. Note that the 300 represents $300 and the 4 represents 4 months, so the slope represents $300 / (4 months) = $75 / month, which is the average rate of change during the first time interval.

The rise between the second point and the third is from 5300 to 5500, or 200, and the run from 7 to 12 is 5, so the slope is 200 / 5 = 40. This slope represents the $40/month average rate of change during the second time interval.

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Self-critique (if necessary):

Instead of going by spaces of the graph I should have used the values that the spaces represented. Like 5300 to 5500 is an increase of 200. I should have used the 200 instead of 2, the distance of the spaces. Then when I divided I would have been able to calculate the average rate of the change as illustrated in the Given Solution.

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Self-critique Rating:

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Question: `q002. Look at your results for the slopes, and look the results for the average rates of change. What do you notice? In what way then does the graph represent the average rate of change?

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Your solution:

With this graph I see that the steeper the slope is, the lower the value of the average rate of change.

confidence rating #$&*: 1

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Given Solution:

`aWe see from this example that the slope of a graph of value vs. clock time represents the rate at which value is changing with respect to clock time.

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Self-critique (if necessary):

I feel that I was thinking along the right direction, but I was unable to give a full and straight forward answer.

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Self-critique Rating:

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Question: `q003. To what extent do you think your graph, consisting of 3 points with straight line segments between them, accurately depicts the detailed behavior of the stocks over the 9-month period?

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Your solution:

I feel that this graph gives an average of the behavior of the 9- month period but I do not think that you can find out exactly what the stock did over the 9-month period with only those three months. Mainly because the time to so spaced out.

confidence rating #$&*: 2

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Given Solution:

`aStocks can do just about anything from day to day-they can go up or down more in a single day than their net change in a month or even a year. So based on the values several months apart we can't say anything about what happens from day to day or even from month to month. We can only say that on the average, from one time to another, the stocks changed at a certain rate.

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Self-critique (if necessary):

I was along the same lines with the Given Solution.

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Self-critique Rating:

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Question: `q004. From the given information, do you think you can accurately infer the detailed behavior of the stock values over the nine-month period?

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Your solution:

No I do not think that with only this information a detailed behavior of the stock values can be accurately determined.

confidence rating #$&*: 3

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Given Solution:

`aNot on a day-to-day basis, and not even on a month-to-month basis. All we can see from the given information is what might be an average trend.

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Self-critique (if necessary):

I should have given a reason given an explanations as to why I felt that this was not enough information.

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