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 tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are the same.

Front

What does it mean for a graph to show a proportional relationship?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

Front

If a table has the values (2, 4), (3, 6), and (4, 8), is it proportional?

Back

Yes, because the ratio of y to x is constant (2:1).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it does not represent a proportional relationship.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality, divide the y-value by the x-value for any pair of corresponding values.

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.

Front

What is the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship is equal to the constant of proportionality.

Front

If a graph shows a line that intersects the y-axis at (0, 5), is it proportional?

Back

No, because it does not pass through the origin.