real-world situation that could be modeled by dividing two rational numbers
You drove eighty miles in two hours. How fast were you going on the average?
A possible answer is: "I have 0.5 of a pizza left. There are 3 people eating it for lunch. What part of the whole pizza is each person eating for lunch?
A real-world situation that could be modeled by dividing two rational numbers is calculating the average speed of a moving vehicle.
To understand the process, let's break it down into steps:
1. First, we need to measure the distance traveled by the vehicle during a specific time period. Let's say the vehicle covered a distance of 100 kilometers.
2. Next, we need to measure the time it took for the vehicle to cover that distance. Let's say it took 2 hours.
3. Now, we have the distance (100 kilometers) and the time (2 hours). We can represent this as a fraction: 100/2.
4. To calculate the average speed, we divide the distance by the time:
Average Speed = Distance / Time
In our example, the average speed would be calculated as:
Average Speed = 100/2 = 50 km/h
Thus, dividing the distance traveled (a rational number) by the time taken (another rational number) allows us to model and calculate the average speed of a moving vehicle.