The situations that show a proportional relationship where distance is proportional to time are:
- The graph
- A marathon runner running at a constant speed
- An airplane flying over a country at constant speed
The situation that shows a relationship where distance is NOT proportional to time is:
The situations where there is NOT enough information are:
- An airplane that takes off after starting at the end of a runway
- The runner sprinting at a 100-meter dash
What is a Proportional Relationship?
- Proportional relationship exist when the ratio between two variables are always equivalent.
- One of the variables in a proportional relationship is always a constant value of times the other variable.
- A straight line graph always shows a proportional relationship between two variables.
Thus:
An airplane that takes off after starting at the end of a runway does not give us enough information to compare time and distance. So also is the runner sprinting at a 100-meter dash, there is no enough information.
A marathon runner running at a constant speed and an airplane flying over a country at constant speed both tell us that the distance is proportional to time because speed = distance/time.
The graph is a straight line graph, therefore, distance is proportional to time.
The table does not show a proportional relationship between distance and time because 5/5 ≠ 25/10 ≠ 50/15
In summary, the situations that show a proportional relationship where distance is proportional to time are:
- The graph
- A marathon runner running at a constant speed
- An airplane flying over a country at constant speed
The situation that shows a relationship where distance is NOT proportional to time is:
The situations where there is NOT enough information are:
- An airplane that takes off after starting at the end of a runway
- The runner sprinting at a 100-meter dash
Learn more about proportional relationship on:
https://brainly.com/question/3202565
