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Answer:
Step-by-step explanation:
1). Unit rate = slope of the graph at x =1
Unit rate means value of y at x = 1
From the graph of the given function,
(1, 2) is the point which defines the unit rate.
2). Table (1),
If the data shows the proportional relationship,
[tex]\frac{y_1}{x_1}=\frac{y_2}{x_2}[/tex]
[tex]\frac{2}{6}=\frac{1}{3}[/tex]
[tex]\frac{1}{3}= \frac{1}{3}[/tex]
Therefore, table (1) represents the proportional relationship.
Table (2),
If the data given in table is proportional,
[tex]\frac{y_1}{x_1}=\frac{y_2}{x_2}[/tex]
[tex]\frac{8}{5}=\frac{4}{2}[/tex]
[tex]\frac{8}{5}=\frac{2}{1}[/tex]
Which is not true.
Therefore, table (2) doesn't show the proportional relationship.