Assignment 8

course Mth 163

c튢}assignment #008

008.

Precalculus I

09-25-2008

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20:28:09

`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 -->

When the first equation has the x value as 2, the coordinates are (2,3). And when the x value is 9, the coordinates are (9,10.7).The rise between the points 7 and the run is 7.7.

confidence assessment: 1

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20:29:51

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 -->

To get a slope we take the rise divided by the run which here is 1.1.

self critique assessment: 2

In your original response you reversed the rise and the run. This should have been noted in yourself-critique.

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qާ`ڑ|Sx

assignment #008

008.

Precalculus I

09-25-2008

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22:08:24

`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 -->

When we first solve to find the first equation, the x value of 2 makes the coordinates (2,3). And the second equation with the x value of 9 makes a coordinate of (9,10.7).

The run from the two points is 7 while the the rise of the two points is 7.7.

When we look for the slope between the two points, the formula is rise/ run so the slope here is 1.1.

confidence assessment: 2

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22:14:46

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 -->

ok

self critique assessment: 3

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22:26:42

`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 -->

The coordinates for the first equation are (a,9.1) and the second equation are (b,9.1).

confidence assessment: 1

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22:38:33

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 -->

the equations here are not to be solved so I presumed that they are to be solved all the way though we want to leave the equations alone to find the unknown variables.

self critique assessment: 2

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22:45:43

`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 -->

The rise would be ( 11b+.8)/ (11a+.8) and the run would be a/b.

confidence assessment: 1

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22:47:12

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 -->

ok

self critique assessment: 1

The rise is the difference in your vertical coordinates, not the ratio of your vertical coordinates. Rise is divided by run, but vertical coordinate is not divided by vertical coordinate.

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22:58:33

`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 -->

i think that the average slope would be the points of the rise and run?

confidence assessment: 1

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22:58:48

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 -->

ok

self critique assessment: 2

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The average slope would be determined by the rise and the run. You need to have self critiqued this problem and the preceding in detail, clearly shelling everything that you do and do not understand about your original response, the given solution, and what differs between your solution in the given solution.