Final answer:
The Constant of Proportionality for Rauf's trips to school is 2.5 kilometers per trip, as he walks an equal distance per trip in both scenarios presented.
Step-by-step explanation:
To find the Constant of Proportionality, we can set up a proportion based on the information given in the word problem. Rauf walked 12.5 km in 5 trips, which gives us one ratio, and then walked 15 km in 6 trips, which is another ratio. The Constant of Proportionality is the distance Rauf walks per trip. To find this, we must first calculate the distance per trip for each set of trips and see if they are the same:
For the first set of trips: 12.5 km / 5 trips = 2.5 km/trip.
For the second set of trips: 15 km / 6 trips = 2.5 km/trip.
Since both calculations give us the same distance per trip, we can conclude that the Constant of Proportionality is 2.5 km/trip. Rauf walks 2.5 kilometers for each trip he makes to school.