Answer:
The constant of proportionality is:
Step-by-step explanation:
We know that when y varies directly with x, we get
y ∝ x
y = kx
k = y/x
where 'k' is called the constant of proportionality
From the graph, it is clear that the point (2/5, 1/2) passes through the line which represents the direct relationship.
so we have the point (2/5, 1/2), and
x = 2/5
y = 1/2
so substituting x = 2/5 and y = 1/2 in the equation
k = y/x
k = [1/2] / [2/5]
k = [1 × 5 ] / [2 × 2 ]
k = 5/4
Therefore, the constant of proportionality is:
