Final Answer:
The expression to determine how many students will be in each group when dividing x students into 5 groups is x divided by 5, which can be represented as x/5.
Step-by-step explanation:
When Dominic divides his cabin of students into 5 groups, the objective is to distribute the total number of students (represented by x) evenly among these groups. To determine the number of students in each group, the total number of students (x) is divided by the number of groups (5). This division operation, x divided by 5 or x/5, provides the quotient, which represents the number of students in each group.
For instance, if there are 20 students (x = 20) in Dominic's cabin, dividing 20 by 5 (number of groups) results in 4 students per group (20/5 = 4). Therefore, regardless of the specific value of x (the total number of students), dividing that number by the number of groups (5 in this case) will yield the count of students that will be in each group. This expression, x/5, remains applicable and represents the allocation of students into equal groups.