Answer:
Bottom right table
Step-by-step explanation:
A table will show a linear relationship when there is a <em>common difference</em>. To determine this, we first ensure that the x values are increasing at the same value and then find the difference of consecutive y values.
<u>Top left table</u>
11-7=3
12-11=1
13-12=1
Because the differences between the y values are not all the same, this table does not represent a linear function.
<u>Top right table</u>
9-7=2
12-9=3
15-12=3
Again, there is no common difference, so this table does not represent a linear function.
<u>Bottom left table</u>
The x values are different now but they still increase by the same increment each time, so we continue subtracting the y values normally.
9-7=2
12-9=3
15-12=3
This table does not represent a linear function.
<u>Bottom right table</u>
9-7=2
11-9=2
13-11=2
Because there is a common difference, this table represents a linear function.
I hope this helps!
