Question

The Junior-Senior Prom Committee must consist of 5 to 8 representatives from the junior and senior classes. The committee must include at least 2 juniors and at least 2 seniors. Let x be the number of juniors and y be the number of seniors. Give two possible solutions for the numbers of juniors and seniors on the prom committee.

Answer 1

Two possible solutions are: (x = 2, y = 2) and (x = 3, y = 5).

Step-by-step explanation:

Since the Junior-Senior Prom Committee must consist of at least 2 juniors and 2 seniors, we can assign values to x and y as follows:

Case 1: x = 2, y = 2

This means that there are 2 juniors and 2 seniors on the committee.

Case 2: x = 3, y = 5

This means that there are 3 juniors and 5 seniors on the committee.