Based on the given feature "persons" and the target task of rating the decision to buy a car, we can analyze the relationship between the feature and target as follows:

1. Unacceptable: It is likely that a car with a low capacity in terms of persons to carry would be rated as unacceptable. Cars with a capacity of "2" persons may be less practical for most buyers, especially those with families or who frequently carpool. Therefore, the possible values for the feature "persons" that could be associated with the target class "unacceptable" are ['2'].

2. Acceptable: Cars with a moderate capacity in terms of persons to carry may be considered acceptable by buyers. Cars with a capacity of "4" persons can accommodate a small family or group comfortably. Therefore, the possible values for the feature "persons" that could be associated with the target class "acceptable" are ['4'].

3. Good: Cars with a larger capacity in terms of persons to carry might be rated as good. Cars with a capacity labeled as "more" can accommodate a larger number of people, making them suitable for bigger families or groups. Therefore, the possible values for the feature "persons" that could be associated with the target class "good" are ['more'].

4. Very Good: Cars with a capacity of "more" can be seen as highly desirable. This suggests that the larger the capacity to accommodate more persons, the higher the likelihood of being rated as "very good". Therefore, the possible values for the feature "persons" that could be associated with the target class "very good" are ['more'].

Based on this analysis, here is the dictionary representing the relationship between the feature "persons" and the target classes:

```json
{
	"unacceptable": ["2"],
	"acceptable": ["4"],
	"very good": ["more"],
	"good": ["more"]
}
```