Assignment 9

course Mth 163

11/6 3

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.

009.

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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 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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Your solution:

X = x1 and y = 1.1x1 + .8 ( x1 , 1.1x1 +.8)

X + x2 and y = 1.1x2 + .8 ( x2 , 1.1x2 +.8)

Rise = 1.1x2 +.8 -1.1 x1 - .8 = 1.1x2 – 1.1x1

Run = x2 – x1

Slope = 1.1 x2 – 1.1x1 / x2 – x1

If 1.1 is factored out of the top it gives you 1.1(x2-x1) / x2-x1

Next the x2-x1 are cancelled out leaving the slope to equal 1.1

confidence rating: 3

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Given Solution:

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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Self-critique (if necessary):

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Self-critique Rating:

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Question: `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.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

(X1 , 3.4 x1 + 7)

( x2 , 3.4 x2 + 7)

Rise = 3.4x2 + 7 – 3.4x1 -7 = 3.4x2 – 3.4x1

Run = x2 – x1

Slope = 3.4 x2 – 3.4x1 / x2 – x1 Factoring out the 3.4 in the top the equation is 3.4(x2 – x1) / x2 – x1 . Next cancel the x2 – x1 in the top and bottom and the slope is 3.4

confidence rating: 3

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Given Solution:

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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