assignment 09

course Mth 163

Your work has been received. Please scroll through the document to see any inserted notes (inserted at the appropriate place in the document, in boldface) and a note at the end. The note at the end of the file will confirm that the file has been reviewed; be sure to read that note. If there is no note at the end, notify the instructor through the Submit Work form, and include the date of the posting to your access page.

assignment #009

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13:47:57 `q001. Note that this assignment has 2 questions

For the function y = 1.1 x + .8, what are the coordinates of the x = x1 point, in terms of the symbol x1? What are the coordinates of the x = x2 point, in terms of the symbol x2?

What therefore is the rise between these two points, and what is the run?

What is the average slope of the graph between these two points? Be sure to simplify your result.

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RESPONSE --> First, I'd like to make a note saying that the video clips on CD3 for this assignment would lock up and I could only read the notes.

Here goes: I graphed this line with 7 coordinates. I picked (1,1.9) and (2,3) to from my slope triangle. The slope between these two points is 1.1/1. If the points x1 and y1 fall on this line, then y - 3 /x - 2 = 1.1 / 1. Solving for this equation you would come up with the original equation of y = 1.1 x + .8

I really don't know if this is what you are looking for. I followed the first example in the Assignment 9 notes. I will look at your answer to see if I'm even close and will self critique.

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13:51:45 In terms of the symbol x1 the coordinates of the x = x1 point are ( x1, 1.1 x1 + .8) and the coordinates of the x = x2 point are ( x2, 1.1 x2 + .8).

The rise between the two points is therefore

rise = (1.1 x2 + .8) - (1.1 x1 + .8) = 1.1 x2 + .8 - 1.1 x1 - .8 = 1.1 x2 - 1.1 x1.

The run is

run = x2 - x1.

The slope is therefore (1.1 x2 - 1.1 x1) / (x2 - x1) = 1.1 (x2 - x1) / (x2 - x1) = 1.1.

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RESPONSE --> I wasn't even close. I don't know how to self-critique this. I follow what is going on here, but I don't remember going over this in my notes.

You weren't that far off--you used specific numbers rather than general symbols. However the question here asked you to do this in symbolic form.

The worksheets do include the use of symbolic solutions.

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14:06:43 `q002. For the function y = 3.4 x + 7, what are the coordinates of the x = x1 point, in terms of the symbol x1? What are the coordinates of the x = x2 point, in terms of the symbol x2?

What therefore is the rise between these two points, and what is the run?

What is the average slope of the graph between these two points? Be sure to simplify your result.

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RESPONSE --> From following the previous question and the response given, I was able to answer the following question.

y = 3.4 x + 7

3.4x2 + 7 - (3.4x1 + 7) = 3.4x2 + 7 - 3.4x1 -7 = 3.4x2 - 3.4x1. The rise is 3.4x2 - 3.4x1

The run is x2 - x1

The slope is 3.4x2 - 3.4x1 / x2 - x1 = 3.4 (x2 - x1) / x2 - x1 = 3.4

Great.

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14:06:59 In terms of the symbol x1 the coordinates of the x = x1 point are ( x1, 3.4 x1 + 7) and the coordinates of the x = x2 point are ( x2, 3.4 x2 + 7).

The rise between the two points is therefore

rise = (3.4 x2 + 7) - (3.4 x1 + 7) = 3.4 x2 + 7 - 3.4 x1 - 7 = 3.4 x2 - 3.4 x1.

The run is

run = x2 - x1.

The slope is therefore (3.4 x2 - 3.4 x1) / (x2 - x1) = 3.4 (x2 - x1) / (x2 - x1) = 3.4.

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RESPONSE --> OK

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You did very well here, adapting the method of the first symbolic solution to correctly get the second.