Class Assignment: 12032024 - POP FLASHCARD Proportional Reasoning

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How can you determine if a table of values is proportional?

Back

A table of values is proportional if the ratios of corresponding values are equal.

Front

What does it mean if a table is non-proportional?

Back

A non-proportional table has varying ratios between corresponding values, meaning they do not maintain a constant ratio.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

If y = 3x, is this a proportional relationship?

Back

Yes, this is a proportional relationship because it can be expressed in the form y = kx.

Front

If y = x + 2, is this a proportional relationship?

Back

No, this is not a proportional relationship because it does not pass through the origin.

Front

What does it mean for an equation to represent a proportional relationship?

Back

It means that the equation can be simplified to the form y = kx, indicating a constant ratio between y and x.

Front

How can you visually identify a proportional relationship on a graph?

Back

A proportional relationship will graph as a straight line that passes through the origin (0,0).

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.