Help me on this question

  see below

Step-by-step explanation:

All of the given data sets have x-values that are sequential with a difference of 1. That makes it easy to determine the sort of sequence the y-values make.

  first choice: the y-values have a common difference of -2. This will be matched by a linear model.

 second choice: the y-values have a common difference of +2. Again, this will be matched by a linear model.

  third choice: the y-values have a common ratio of -2. This will be matched by an exponential model.

  fourth choice: the y-value differences are 3, 5, 7, increasing by a constant amount (2). This is characteristic of a sequence that has a quadratic model.