Answer:
Do not vary directly.
Step-by-step explanation:
A proportional relation between two variables x and y can be expressed as:
y = kx
where, k is the constant of proportionality.
The above equation can be rewritten as:
[tex]k=\frac{y}{x}[/tex]
This equation should hold true for all the values of x and y that are applicable in the given scenario. This means, if x and y vary directly, the ratio of y to x must be a constant for all the values of y and x.
From the given graph, we can see the following points:
(0.3, 200) , (0.9, 400), (1.5, 600)
For the first point (0.3, 200):
[tex]k=\frac{200}{0.3}=666.67[/tex]
For the second point (0.9, 400):
[tex]k=\frac{400}{0.9}=444.44[/tex]
For the third point (1.5, 600):
[tex]k=\frac{600}{1.5}=400[/tex]
From here we can see that the ratio of y to x is not a constant. This means, the two quantities shown in the graph do not vary directly. There is only a linear relationship between the lines, not a proportional relationship
