Final answer:
The question is about understanding fractions as representations of division and their relationship with multiplication. The correct option is b (2/5 = x/8), which sets up a proportion in accordance with the reciprocal relationship between multiplication and division.
Step-by-step explanation:
The question relates to the concept of ratios and fractions, which is a topic in Mathematics. Specifically, the question appears to deal with understanding the relationship between fractions and division, and how the concept of reciprocal relates to multiplication and division. To answer the question, we have to recognize that dividing by a number is the same as multiplying by its reciprocal, and similarly, multiplying by a number is the same as dividing by its reciprocal.
Looking at the options provided, we can eliminate options a and c as they represent ratios, not fractions representing a division operation. Option d (5/8 = x/2) can also be eliminated because it implies that 5 divided by 8 is the same as another number x divided by 2, which would only be true if x were 1.25.
Therefore, the correct representation of the situation is option b (2/5 = x/8), as it correctly sets up a proportion that can be solved to find x. This situation illustrates that if 2 corresponds to 5 in some way (like 2 out of 5 sweaters being 'ugly'), then x corresponds to 8 in the same proportion.