Do the paired points in the table represent a proportional relationship on the graph?
x 0 1 2 3
y 0 3 6 9
if the relationship is proportional, choose the correct constant of proportionality from the drop-down menu. if the relationship is not proportional, choose "not proportional."
drop down menus = 1,2,3, or not proportional

The given paired of points in the table can be tested if proportional by solving the slope at each point. The slope represents the constant of proportionality.

M = (y1 – y2) / (x1 – x2)

At point ( 0, 0 ) and (1 , 3)

 

M = ( 0 – 3) / ( 0 – 1 )

M = 3

 

At point ( 1, 3 ) and (2 , 6)

 

M = ( 3 – 6) / ( 1 – 2 )

M = 3

 

M = ( 9 – 6) / ( 3 – 2 )

M = 3

 

So the proportionality constant is 3

 

 

 

Best answer that i found on yahoo ok   set :   x= length of 2nd piece in cm  x- 3= length of 1st piece in cm  x-4= length of 3rd piece in cm  then since you know they all came from the 20 cm ribbon you add them together and set them equal to 20x+ x-3 +x-4 = 20  3x - 7= 20  3x= 27  x= 9  the shortest piece is the third piece which is x- 4  x-4  9-4 = 5  the length of the smallest piece is 5 cm.  the other lengths are  9 cm  6 cm