Answer:
Table 1 is the answer.
Step-by-step explanation:
For a linear function there should be a common difference in each successive value of y with the linear increase in the value of x.
Table (1)
y = -5 and 0
difference = 0 - (-5) = 5
y = 5 and 0 5 - 0 = 5
y = 10 and 5 10 - 5 = 5 All the difference are common Therefore, table (1) represents linear function.
Table (2)
y = 5 and 10
difference = 10 - 5 = 5
y = 20 and 10
20 - 10 = 10
Therefore, table 2 does not represent linear function.
Table (3)
y = -5 and 10
difference = 10 - (-5) = 15
y = -15 and 10
10 - ( -15) = 25
This table is not for a linear function.
Table (4)
y = 9 and 5
difference = 5 - 9 = (-4)
y = 5 and 9
difference = 9 -5 = 4
so difference is not common
Therefore, table 4 will also not represent a linear function.
Table 1 is the answer.
