Answer:
The statement that is true about the graph is:
The graph does not show a proportional relationship because each point written as ratio gives a different value.
Step-by-step explanation:
A graph is said to have a proportional relationship if it is a straight line passing through the origin.
i.e. a variable must be a constant multiple of the other variable.
i.e. y=kx
From the given graph we have a straight line that passes through (0,2) and (2,3)
Hence, the equation of line is:
[tex]y-2=\dfrac{3-2}{2-0}\times (x-0)\\\\\\i.e.\\\\\\y-2=\dfrac{1}{2}x\\\\\\i.e.\\\\\\y=\dfrac{1}{2}x+2[/tex]
Hence, the graph does not show a proportional relationship as the equation of the graph is not of the form y=kx
This means that [tex]\dfrac{y}{x}\neq k[/tex]
for some constant k.
