qa 8

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course MTH 163

Oct. 21, @ 2:22 PM

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.

008.

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Question: `q001. Note that this assignment has 4 questions

For the function y = 1.1 x + .8, what are the coordinates of the x = 2 and x = 9 points? What is the rise between these points and what is the run between these points? What therefore is the slope between these points?

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Your solution:

- To solve for the coordinates, all one has to do is simply plug in the x values into the linear equation, getting the following coordinates;

- When x = 2, (2, 3)

- When x = 9, (9, 10.7)

- To find the rise, take the difference of the y1 and y2.

- 10.7 - 3 = 7.7

- To find the run, take the difference of x1 and x2.

- 9 - 2 = 7

- Thus, the slope is rise over run, so 7.7/7 or 1.1.

confidence rating #$&*: 3

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Given Solution:

Evaluating y = 1.1 x +.8 for x = 2 and x = 9 we obtain y = 3 and y = 10.7. The graph points are therefore (2,3) and (9,10.7).

The rise between these points is 10.7 - 3 = 7.7 and the run is 9-2 = 7. Thus the slope is 7.7 / 7 = 1.1.

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Self-critique (if necessary): Nailed it.

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Self-critique rating:

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Question: `q002. For the function y = 1.1 x + .8, what are the coordinates of the x = a point, in terms of the symbol a? What are the coordinates of the x = b point, in terms of the symbol b?

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Your solution:

- All I could surmise from this would be, in terms of a:

- Y = 1.1a + .8

- And in terms of b:

- Y = 1.1b + .8

- NOTED: the coordinates would be (a, 1.1a + .8) and (b, 1.1b + .8)

confidence rating #$&*: 2

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Given Solution:

If x = a, then y = 1.1 x + .8 gives us y = 1.1 a + .8.

If x = b, then y = 1.1 x + .8 gives us y = 1.1 b + .8. Thus the coordinates of the x = a point are (a, 1.1 a + .8) and (b, 1.1 b + .8).

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Self-critique (if necessary): Figured out that my information before NOTED related to just finding y; I understand that the symbols a and b represent x in this case.

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Self-critique rating:

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Question: `q003. We see that the coordinates of the x = a point are (a, 1.1 a + .8) and (b, 1.1 b + .8). What therefore is the rise between these two points? What is the run between these two points?

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Your solution:

- The rise will simply be the difference between the y values. In this case, it will be (1.1a + .8) - (1.1b + .8).

- The run will simply be the difference between the x values. In this case, it will be (a) - (b).

confidence rating #$&*:

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Given Solution:

The rise between the points is the rise from y = 1.1 a + .8 to y = 1.1 b + .8, a rise of

rise = (1.1 b + .8) -(1.1 a + .8) = 1.1 b + .8 - 1.1 a - .8 = 1.1 b - 1.1 a.

The run is from x = a to x = b, a run of

run = b - a.

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Self-critique (if necessary): I was close with regards to the rise. But I see now where the .8 cancels out; but does it matter which variable comes first? B or a?

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Self-critique rating:

@&

As long as you do the two points in the same order, it doesn't matter, but generally we consider the first point to be the beginning and the second to be the end of an interval. To find the change in x or y you would subtract the beginning from the end value.

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@&

As long as you do the two points in the same order, it doesn't matter, but generally we consider the first point given to be the beginning and the second to be the end of an interval. To find the change in x or y you would subtract the beginning from the end value.

If you want to reverse the points so that the second is the beginning and the first is the end, it's OK. You'll get the same result; rise and run will both have opposite signs but when you divide them your slope will have the same sign as before.

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Question: `q004. We see that the rise between the x = a and x = b points of the graph of y = 1.1x +.8 is 1.1 b + .8 - (1.1 a + .8), while the run is b - a. What therefore is the average slope of the graph between these points? Simplify your answer.

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Your solution:

- Firstly I list out the known elements, my rise and run.

(1.1a + .8) - (1.1b + .8) / (a - b).

- I take note that I think .8 should cancel out, to form

- (1.1a) - (1.1b) / (a - b)

- I reverse the distributive law to make

1.1 (a - b) / (a - b)

- Then cancel the matching quantities of a - b to get 1.1

confidence rating #$&*: 1

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Given Solution:

The slope is

slope = rise / run = (1.1 b - 1.1 a) / (b - a) = 1.1 (b - a) / (b - a) = 1.1.

The significance of this series of exercises is that the slope between any two points of the straight line y = 1.1 x + .8 must be 1.1, no matter whether the points are given by numbers (e.g., x = 2 and x = 9) or by symbols (x = a and x = b). Mostly

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Self-critique (if necessary): Had a hard time doing this on paper, then figured it out and understood it when I tried to type it out in your format.

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Self-critique (if necessary):

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Self-critique rating:

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Question: `q004. We see that the rise between the x = a and x = b points of the graph of y = 1.1x +.8 is 1.1 b + .8 - (1.1 a + .8), while the run is b - a. What therefore is the average slope of the graph between these points? Simplify your answer.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

- Firstly I list out the known elements, my rise and run.

(1.1a + .8) - (1.1b + .8) / (a - b).

- I take note that I think .8 should cancel out, to form

- (1.1a) - (1.1b) / (a - b)

- I reverse the distributive law to make

1.1 (a - b) / (a - b)

- Then cancel the matching quantities of a - b to get 1.1

confidence rating #$&*: 1

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Given Solution:

The slope is

slope = rise / run = (1.1 b - 1.1 a) / (b - a) = 1.1 (b - a) / (b - a) = 1.1.

The significance of this series of exercises is that the slope between any two points of the straight line y = 1.1 x + .8 must be 1.1, no matter whether the points are given by numbers (e.g., x = 2 and x = 9) or by symbols (x = a and x = b). Mostly

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Self-critique (if necessary): Had a hard time doing this on paper, then figured it out and understood it when I tried to type it out in your format.

"

Self-critique (if necessary):

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Self-critique rating:

#*&!

&#Your work looks good. See my notes. Let me know if you have any questions. &#