does the data in the table represent a linear function? if so, wirte a rule for the function.

Question

(below is what the table looks like)
x | -2| -1| 0 | 1| 2|
y | -7| 1| 8 | 17| 25|

answer choices
yes; y = 8x +9
yes; y = 8x + 8
no
yes; y = 1/8x + 8

Answer 1

To determine if the data represents a linear function, we need to check if there is a constant rate of change between the x-values and y-values.

Here, if we take the difference in the y-values for any consecutive x-values, we get 1, 7, 9, and 8, respectively. Since the differences are not equal, the data points do not have a constant rate of change, indicating that the data does not represent a linear function.

Therefore, the correct answer is no.