Question

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

Answer 1

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