course MTH 173 ????????X????Q??}wassignment #002
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10:47:11 `qNote that there are four questions in this assignment. `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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RESPONSE --> The slope of the first line from March-July is 3/4 where the line rises 3,000 (3 units on the graph) and runs 4 months (4 units on the graph) so the slope for the first line is 3/4. The slope for the second line is 2/5 where the line rises 2,000 (2 units on the graph) and runs 5 months (5 units on the graph) so the slope for the second line is 2/5. confidence assessment: 3
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10:49:27 The 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. Click on 'Next Picture' to see the graph.
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RESPONSE --> I used different units but, in essence the same answer. This happened last time, I have to remember to use the actual data instead of graph units. self critique assessment: 2
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10:52:34 `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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RESPONSE --> The slope for the first line is .75 and the average rate of change is $75/month. The difference in the two is you find the slope using the units on the graph and you find the average rate of change by using the actual data instead of the graph units. confidence assessment: 3
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10:54:04 We 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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RESPONSE --> ok self critique assessment: 3
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10:56:04 `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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RESPONSE --> It has very little detail, overall the stocks are going up but, if you were to graph on a shorter time period such as weeks or even months it would show a roller coaster, because the stock market can change + or - several points in only a few hours. confidence assessment: 3
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10:57:07 Stocks 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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RESPONSE --> thats pretty much what I said too. self critique assessment: 3
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10:59:05 `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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RESPONSE --> Overall the stocks are going up during the period, but again, from day to day we have no idea of whats going on. Therefor we have no really detailed data but even with this data it is easy to see that the stocks are rising. confidence assessment: 2
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11:00:54 Not 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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RESPONSE --> The stocks could drop-off right after the graphed data and there is a random up and down patteren in between the points but overall we see that it's rising during the graphed period. self critique assessment: 2
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