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Which table represents a linear function?

Which table represents a linear function?-example-1

2 Answers

5 votes
The answer would be the second one
User Partofthething
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4 votes

Answer:

Bottom right table

Explanation:

A table will show a linear relationship when there is a common difference. 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.

Top left table

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.

Top right table

9-7=2

12-9=3

15-12=3

Again, there is no common difference, so this table does not represent a linear function.

Bottom left table

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.

Bottom right table

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!

User Thidasa Pankaja
by
4.2k points