Given: the points ( 0.5 , 1/10 ) and ( 7 , 1 2/5)
The points are on the graph of a proportional relationship
It is required to find the constant of proportionally
so, the graph of the points will be as shown in the following image:
as shown there a proportional relationship
Because the line is pass through zero
So, the constant of proportionality = y/x
It can be calculated using any point from the given points
So ,
Using the point ( 0.5 , 1/10)
the constant = 0.1/0.5 = 0.2
We can check the answer using the other point ( 7, 1 2/5)
The constant = (1 2/5)/7 = 1.4/7 = 0.2
So, the constant of proportionality = 0.2
