Proportional Relationships Graphs and Tables

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 identify a proportional relationship in a table?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented by 'k'.

Front

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

Back

Yes, the table is proportional because the ratio of y to x is constant (k=2).

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

Can a relationship be proportional if it does not pass through the origin?

Back

No, a relationship cannot be proportional if it does not pass through the origin.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = 2x + 3, as it does not pass through the origin.

Front

How do you determine if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

Front

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

Back

In a proportional relationship, the slope of the line represents the constant of proportionality.