Final answer:
The correct system of inequalities for determining the number of women and men who donated given that no more than $3,809 was donated would be 'w + m > 246, $15w + $16m < $3,809', which matches option (d).
Step-by-step explanation:
The question pertains to finding a system of inequalities that could be used to determine the number of women (w) and men (m) who donated, given that no more than $3,809 was donated. We seek two inequalities: one to express the total number of donors, and another to represent the total donations based on the contributions of men and women.
For the contributions, we assume that each woman donates $15 and each man donates $16. Therefore, we are looking for an inequality of the form $15w + $16m \leq $3,809, indicating that the combined donation from both men and women should not exceed $3,809.
As there is no context for the first inequality 'w + m > 246', we will focus on the second, which pertains to the donation values. The inequality that correctly represents the donation constraint is option (d) w + m > 246, $15w + $16m < $3,809, providing that the sum of contributors is greater than 246 and the total donations do not exceed $3,809.