Proportional Relationships in Tables and Graphs

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 quantity is constant.

Front

How can you identify a proportional relationship in a table?

Back

You can identify a proportional relationship in a table by checking if the ratios of corresponding values are equal.

Front

What does it mean if a graph represents a proportional relationship?

Back

If a graph represents a proportional relationship, it will be a straight line that passes through the origin (0,0).

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero.

Front

How can you determine if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or if it is not a straight line.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

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

Back

An example of a proportional relationship in real life is the relationship between distance and time when traveling at a constant speed.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not have a constant ratio and may not pass through the origin.

Front

How can you represent a proportional relationship using an equation?

Back

A proportional relationship can be represented by the equation y = kx, where k is the constant of proportionality.

Front

What does a table of values for a proportional relationship look like?

Back

A table of values for a proportional relationship will show pairs of values where the ratio of y to x is constant.