Question 1032601
<pre><b>
 W   D
120 100
150 80
200 60
300 40
400 30

The graph looks like this, connected with line segments

Note: [I did not mark off the units on the horizontal and
vertical axes, below the points and to the left of the
points, but you should do that on your work-sheet]

{{{drawing(400,400,92,450,20,121.9,
red(
line(400,30,300,40), line(300,40,200,60), line(200,60,150,80),line(150,80,120,100)),

locate(125,100,"(120,100)"),
locate(155,80,"(150,80)"),
locate(210,65,"(200,60)"),
locate(310,45,"(300,40)"),
locate(395,30,"(400,30)"),
line(0,20,500,20),line(93,0,93,130),

circle(120,100,3.5),circle(120,100,0.13),circle(120,100,0.11),circle(120,100,0.09),circle(120,100,0.07),circle(120,100,0.05),circle(120,100,0.03),circle(120,100,0.01),

circle(150,80,3.5),circle(150,80,0.13),circle(150,80,0.11),circle(150,80,0.09),circle(150,80,0.07),circle(150,80,0.05),circle(150,80,0.03),circle(150,80,0.01),

circle(200,60,3.5),circle(200,60,0.13),circle(200,60,0.11),circle(200,60,0.09),circle(200,60,0.07),circle(200,60,0.05),circle(200,60,0.03),circle(200,60,0.01),

circle(300,40,3.5),circle(300,40,0.13),circle(300,40,0.11),circle(300,40,0.09),circle(300,40,0.07),circle(300,40,0.05),circle(300,40,0.03),circle(300,40,0.01),

circle(400,30,3.5),circle(400,30,0.13),circle(400,30,0.11),circle(400,30,0.09),circle(400,30,0.07),circle(400,30,0.05),circle(400,30,0.03),circle(400,30,0.01)

)}}}

Or preferably, connected with a smooth curve, like this

{{{drawing(400,400,92,450,20,121.9,
graph(400,400,92,450,20,121.9,12000/x),


locate(125,100,"(120,100)"),
locate(155,80,"(150,80)"),
locate(210,65,"(200,60)"),
locate(310,45,"(300,40)"),
locate(395,30,"(400,30)"),
line(0,20,500,20),line(93,0,93,130),

circle(120,100,3.5),circle(120,100,0.13),circle(120,100,0.11),circle(120,100,0.09),circle(120,100,0.07),circle(120,100,0.05),circle(120,100,0.03),circle(120,100,0.01),

circle(150,80,3.5),circle(150,80,0.13),circle(150,80,0.11),circle(150,80,0.09),circle(150,80,0.07),circle(150,80,0.05),circle(150,80,0.03),circle(150,80,0.01),

circle(200,60,3.5),circle(200,60,0.13),circle(200,60,0.11),circle(200,60,0.09),circle(200,60,0.07),circle(200,60,0.05),circle(200,60,0.03),circle(200,60,0.01),

circle(300,40,3.5),circle(300,40,0.13),circle(300,40,0.11),circle(300,40,0.09),circle(300,40,0.07),circle(300,40,0.05),circle(300,40,0.03),circle(300,40,0.01),

circle(400,30,3.5),circle(400,30,0.13),circle(400,30,0.11),circle(400,30,0.09),circle(400,30,0.07),circle(400,30,0.05),circle(400,30,0.03),circle(400,30,0.01)

)}}}

Since the graph goes down as we move to the right, we suspect
that Distance varies INVERSELY as Weight.  So we write the
inverse proportional equation

 {{{D}}}{{{""=""}}}{{{k/W}}}

We pick any data point to substitute.  May as well pick
the W=120 and D=100

 {{{100}}}{{{""=""}}}{{{k/120}}}

 {{{12000}}}{{{""=""}}}{{{k}}}

So the equation is

 {{{D}}}{{{""=""}}}{{{12000/W}}} 

Now plug in your own weight, and find the point that would
balance your seesaw.  For instance, if you weigh 130, you
would substitute W = 130, and get

 {{{D}}}{{{""=""}}}{{{12000/130}}}

 {{{D}}}{{{""=""}}}{{{92.3}}} approximately,
which would be your distance, and you would mark your 
point, representing your weight and distance,
(W,D) or (130,90.3), say, in red, like this:

{{{drawing(400,400,92,450,20,121.9,
graph(400,400,92,450,20,121.9,12000/x),


locate(125,100,"(120,100)"),
locate(155,80,"(150,80)"),
locate(210,65,"(200,60)"),
locate(310,45,"(300,40)"),
locate(395,30,"(400,30)"),
line(0,20,500,20),line(93,0,93,130),

circle(120,100,3.5),circle(120,100,0.13),circle(120,100,0.11),circle(120,100,0.09),circle(120,100,0.07),circle(120,100,0.05),circle(120,100,0.03),circle(120,100,0.01),

circle(150,80,3.5),circle(150,80,0.13),circle(150,80,0.11),circle(150,80,0.09),circle(150,80,0.07),circle(150,80,0.05),circle(150,80,0.03),circle(150,80,0.01),

circle(200,60,3.5),circle(200,60,0.13),circle(200,60,0.11),circle(200,60,0.09),circle(200,60,0.07),circle(200,60,0.05),circle(200,60,0.03),circle(200,60,0.01),

circle(300,40,3.5),circle(300,40,0.13),circle(300,40,0.11),circle(300,40,0.09),circle(300,40,0.07),circle(300,40,0.05),circle(300,40,0.03),circle(300,40,0.01),

red(circle(130,92.3076923,04),circle(130,92.3076923,0.13),circle(130,92.3076923,0.11),circle(130,92.3076923,0.09),circle(130,92.3076923,0.07),circle(130,92.3076923,0.05),circle(130,92.3076923,0.03),circle(130,92.3076923,0.01),locate(135,92.3,"(130,92.3)")),



circle(400,30,3.5),circle(400,30,0.13),circle(400,30,0.11),circle(400,30,0.09),circle(400,30,0.07),circle(400,30,0.05),circle(400,30,0.03),circle(400,30,0.01)

)}}}

Edwin</pre>