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Drag each object to show whether distance is proportional to time in the situation represented

Drag Each Object To Show Whether Distance Is Proportional To Time In The Situation Represented class=

Sagot :

akposevictor

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 table of values

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 table of values

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

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