Is there a value for the empty cell that makes the table describe a linear function? Explain.

Responses

The missing value should be 7 because that is one more than 6.
The missing value should be 7 because that is one more than 6.

The missing value should be 7.5 because it is half way between 6 and 9.
The missing value should be 7.5 because it is half way between 6 and 9.

It is not possible because the growth rate from 4 to 8 is different than the growth rate from 2 to 4.
It is not possible because the growth rate from 4 to 8 is different than the growth rate from 2 to 4.

The missing value should be 8 because that is one less than 9.

The correct answer is: The missing value should be 7 because it follows the pattern of increasing by 1 starting from 4. This would make the table describe a linear function with a constant rate of change.