Final answer:
A Venn diagram can be used to illustrate the relationships between students who belong to a club and those who work part-time at a local college, with specific percentages for each category and their intersection.
Step-by-step explanation:
To represent the relationships between students who belong to a club (C) and students who work part-time (PT) at a local college, we can draw a Venn diagram. According to the given information, 40% of students belong to a club, and this is represented by the entire circle labeled C. Also, 50% work part-time, and this is represented by the entire circle labeled PT. The intersection, or the overlap between circles C and PT, represents students who both belong to a club and work part-time, which is 5%.
Here is how we draw the Venn diagram:
- Draw two overlapping circles to represent the two sets C and PT.
- Label one circle C for students who belong to a club and another PT for those who work part-time.
- In the overlapping region (the intersection), label it with 5%, which represents students who belong to both sets.
- In the part of the circle C that does not overlap with PT, write in 35% (40% - 5%), which represents the students who belong to a club but do not work part-time.
- Similarly, write in 45% (50% - 5%) in the part of the circle PT that does not overlap with C, representing students who work part-time but do not belong to a club.
The Venn diagram effectively shows the relationship between the two sets of students.