Final answer:
The correct system of inequalities to determine the number of women (w) and men (m) who donated to the fundraiser is 16w + 15m ≤ 3809 and w + m > 246, which ensures that the total donations do not exceed $3,809, and that more than 246 people donated.
Step-by-step explanation:
The question involves forming a system of inequalities to determine the number of women (w) and men (m) who donated, given that women averaged a donation of $16 and men averaged a donation of $15, with the total amount of donations not exceeding $3,809.
The correct inequality to represent the given situation is:
16w + 15m ≤ 3809
This inequality states that the total amount donated by both women and men cannot exceed $3,809, where w is the number of women and m is the number of men.
The second inequality needed to form the system is based on the information that more than 246 people donated money. Since we don't know the exact number, we only know it is greater than 246, the inequality will be:
w + m > 246
Together, the system of inequalities is:
- 16w + 15m ≤ 3809
- w + m > 246