The table shows values for the equations of a system:
1 answer:
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Answer:
Option (4)
Step-by-step explanation:
Proportional relationship means,
y ∝ x
y = kx
Here, k = proportionality constant
Therefore, if the graph of a line passes through the origin (0, 0) table will represent the proportional relationship.
From table 1,
For a point (1, 2)
For another point (3, 2)
In both the cases 'k' is not same of constant.
Therefore, table (1) is not proportional.
For table (2),
Line passes through (2, 0).
That means there is a x-intercept → (2, 0)
Therefore, table doesn't represent a proportional relationship.
For table (3),
Line passes through a point (0, 1)
It means given line has a y-intercept → y = 1
Therefore, table doesn't represent a proportional relationship.
For table (4),
Line of this table passes through two points (1, 3) and (2, 6)
Therefore, proportionality constant for the given table is 3.
Now we can graph table (4).
