PLEASE ANSWER THE FOLLOWING ATTACHMENT LIST
1 and 2 questions are not clear so i am writing those questions again
1 the domain contains all values represented by the independent variable,washers. The range contains values represented by the dependent variable, distance. on a grrid paper graph the order pairs
2 write a sentence that describes the points on the graph
3 describe the point that represents the trial with no washers in the bag

1
tell me -- is this question of which class/standard ? it does not seem of your class.
the graph is data is applicable to 6 7 8
which standard is this ?
INTERNATIONAL SYLLABUS
this is secondary school - 10th grade or less. u r in +2 std? or higher?

Answers

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2014-11-11T22:04:00+05:30

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A bag is hanging from the table top on to one side.  As washers are added to the bag, the lower end of the bag moves down due to weight (perhaps).  There is some elastic material which is connected to the bag.  It  gets stretched perhaps.   Washers are used as weights perhaps.   This could be the graph representing the Hook's law in physics.
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I assume that the data plotted on the graph (grid paper) is applicable to the first five questions.  Otherwise, We do not have any other data.

1. You are supposed to analyse the data.  Form the domain and range. Check which is independent variable and which is dependent variable. Observe the maximum value - minimum value (span) of the two variables.  That will help selection of scaling on the graph.  All this has been already done and graph is plotted.

  From the table below  you can form  ordered pairs like (0, 8cm), (1, 9.25cm) etc.


Washers     number     0        1          2          3          4 
Distance     in  cm      8       9.25     10.5      12         13

Domain is   [0, 4]          Range is [8, 13]

Graphing  is already done.
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2.  Now  it seems the points are falling on a straight line.  If you want to apply the least squares method and find the best fit straight line for these points, it is okay.  Otherwise, if our scope is not that high,  then  take a transparent scale and draw a straight line such that it is very close to all the points.

   Description :  The distance increases linearly with the number of washers.    or, the increase in distance is proportional to increase in number of washers.    or,   rate of change in distance wrt  the number of washers is a constant (almost).

    in coordinate geometry or algebraic terms ,   
           distance = d = [ (13.1 - 8) /4 ] * w + 8   cm
                d = ( 1.275 w + 8 )  cm
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3.    The point  on the vertical axis of distance marked at  8 is the point,  that represents the trial when there are no washers in the bag.
     (as number of washers is 0 for this point/trial )
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4.  rate of change = increase in distance of the lower end of the bag from the table top / number of washers added.
 
   See the table below:

1 Distance                     8      9.25      10.5      12      13
2 change in distance      0      1.25       1.25     1.5      1  
3 {number of washers}    0        0          1         2        3
 {previously in the bag}      
4  washers added           0        1          1        1         1

Rate of change is given by the second row, as one washer is added each time.

Using the algebra and geometry,  rate = slope =  1.275 cm per one washer

5.  If you join the successive points by straight lines.  For each pair of successive points, draw a right angle triangle, with horizontal line from lower left point.  The rate is equal to the slope of the line.
 
  Rate =  number of grid lines in the vertical direction / number of grid lines in the horizontal direction,  in moving from one point to the next.

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6.    see diagram.
      The blue data points and graph line is the answer.
        data points are (0, 10.5cm),  (1, 11.75cm),  (2, 13cm), (3, 14.5cm), (4, 15.5cm)

      distance of lower end of bag from table top  = d =  (10.5 + 1.275 w )  cm

7.   the data points are (0, 8cm),  (1, 10 cm), (2, 12 cm), (3, 14cm), (4, 16cm)
                    d = (8 + 2 w) cm

8  data points are  (0, 8cm), (1, 8.5cm), (2, 9cm) , (3, 9.5cm)  (4, 10cm)

           d = (0.5 w + 8)  cm

3 5 3
thanx n u r welcom
Will u explain 6,7 and 8 parts in another method. Because it is unable to understand sir
6. the bag is at 10.5 cm distance when there is no washers in the bag. When a washer is added, the bag extends due to the extra weight of washer. It is supposed to increase at the same rate as that given in the sample. The sample had a slope of 1.275 cm per each washer added. Starting point of sample is 8 cm. So just add (10.5-8) = 2.5 cm to all other points.
7. The hanging distance of bag increases at a faster rate. So slope must be more than that of sample, ie., 1.275 cm/washer. So choose slope as 2 cm per each washer. You can choose even 3 or 4 cm for each washer added to bag. Then calculate distance at number of washers = 1,2,3, and 4.
the hanging distance should increase at a rate slower than sample. so choose slope less than 1.275 cm/ each washer added. so choose 0.1 or 0.5 or 0.8 cm per washer added. then calculate the distance for number of washers = 1, 2, 3, and 4.