Assignment 9 QA

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course Mth 163

2:09 pm 10/08/2014

009.

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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

y = 1.1 (x1) + .8

making the coordinates:

(x1, 1.1 (x1) + .8)

When x = x2

y = 1.1 (x2) + .8

The coordinates are:

(x2, 1.1 (x2) + .8)

The rise would be: (1.1 (x2) + .8) - (1.1 (x1) + .8)

1.1 x2 + .8 - 1.1x1 -.8

rise = 1.1x2 - 1.1x1

The run would be: (x2 - x1)

The slope is found by:

(1.1x2 - 1.1x1)/ (x2 - x1)

1.1(x2 - x1)/ (x2 -x1)

Slope will be 1.1

confidence rating #$&*:

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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):

OK

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Self-critique rating:

OK

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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:

When x= x1

y = 3.4 x1 + 7

Making the coordinates

(x1, 3.4x1 +7)

When x = x2

y = 3.4 x2 + 7

Coordinates:

(x2, 3.4x2 +7)

This makes the rise:

(3.4x2 +7) - (3.4x1 +7)

(3.4x2 +7 - 3.4x1 - 7

Rise is 3.4x2 - 3.4x1

Run is

x2 - x1

The slope is found:

(3.4x2 - 3.4x1)/ x2 - x1

3.4 (x2 - x1) / x2 - x1

The slope is 3.4

confidence rating #$&*:

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

3

.............................................

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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Self-critique (if necessary):

OK

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Self-critique rating:

""OK

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Self-critique (if necessary):

------------------------------------------------

Self-critique rating:

""OK

"

Self-critique (if necessary):

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Self-critique rating:

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