Assignment8

course MTH 163

03/17 at 9:11pm

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.

008.

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Self-critique (if necessary):

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Self-critique rating #$&*:

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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:

Y=1.1x+.8 X Y

Y=1.1(2)+.8 2 3

Y=2.2+.8 9 10.7

Y=3

Y=1.1(9)+.8

Y=9.9+.8

Y=10.7

Rise over Run 10.7-3 = 7.7= 1.1

9-2

confidence rating #$&*: 2

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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):

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Self-critique rating #$&*:OK

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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:

Y=1.1x+.8 x y

Y=1.1(a)+.8 a 1.1a+.8

Y=1.1(b)+.8 b 1.1b+.8

confidence rating #$&*: 1

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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): I feel like there should be more to the solution than this.

Good instinct. The problem does continue in the next question.

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Self-critique rating #$&*:Fair

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

confidence rating #$&*:1

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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 got it backwards, but I understood that I should eliminate the elements that were the same.

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Self-critique rating #$&*:Fair

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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:

Slope= rise/run 1.1b-1.1a/b-a=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

&#Your work looks very good. Let me know if you have any questions. &#