Final answer:
One example of a proportional relationship is distance and time, while the number of workers and time for a project is an example of a nonproportional relationship.
Step-by-step explanation:
One real-world example of a proportional relationship is the relationship between distance and time. As you travel at a constant speed, the distance you cover is directly proportional to the time it takes to cover that distance. If you double the time, you will double the distance traveled. For example, if you walk at a speed of 5 kilometers per hour, you will cover a distance of 10 kilometers in 2 hours.
On the other hand, a nonproportional relationship can be seen in the relationship between the number of workers and the time it takes to complete a project. If you double the number of workers, it doesn't necessarily mean that the time to complete the project will be halved. There may be other factors that affect the efficiency or coordination of the workers, resulting in a nonproportional relationship. For example, if it takes 10 workers 5 days to complete a project, doubling the number of workers to 20 may only reduce the time to 4 days instead of 2.5 days.