Is the function represented by the table linear? x y 10 - 6 11 1 12 6 13 12 Yes, because it has a constant rate of change. Yes, because it does not have a constant rate of change. No, because it has a constant rate of change. No, because it does not have a constant rate of change.

The rate of change may be calculated through the equation,

(yn - y (n-1)) / (xn - x (n-1))

For the first pair, (10, - 6) and (11,1)

r1 = (1 - - 6) / (11 - 10)

r1 = 7

For the second pair, (12, 6) and (13, 12)

r2 = (12 - 6) / (13-12)

r2 = 6

Since the values of 2r's are not the same, the equation is not linear.

The answer is the last choice.

For this case, you can graph the given table and observe that it is not a linear function.

The reason in this case would be the following:

No, because it does not have a constant rate of change.

Note: However, it should be noted that it has a very good approximation to a linear function.