course Mth 163 assignment #008008.
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14:04:17 `questionNumber 80000 `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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RESPONSE --> y=1.1(2)+.8 y=3 (2,3) y=1.1(9)+.8 y=10.7 (9,10.7) Find rise= 10.7-3= 7.7 Find run= 9-2= 7 Slope= rise/run Slope= 7.7/7= 1.1 confidence assessment: 2
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14:04:32 `questionNumber 80000 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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RESPONSE --> I understand it. self critique assessment: 3
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14:05:41 `questionNumber 80000 `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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RESPONSE --> y=1.1(a)+.8 so if x=a (a, 1.1a+.8) y=1.1(b)+.8 if x=b (b,1.1b+.8) confidence assessment: 3
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14:05:51 `questionNumber 80000 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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RESPONSE --> I get it. self critique assessment: 3
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14:06:49 `questionNumber 80000 `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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RESPONSE --> Rise would be (1.1b+.8)-(1.1a+.8) Rise= 1.1b-1.1a Run= b-a confidence assessment: 3
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14:07:09 `questionNumber 80000 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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RESPONSE --> I am getting these kind of questions really well. self critique assessment: 3
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14:07:50 `questionNumber 80000 `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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RESPONSE --> 1.1b-1.1a/b-a =1.1(b-a)/ b-a =1.1 confidence assessment: 2
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14:08:01 `questionNumber 80000 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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RESPONSE --> I got it. self critique assessment: 3
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