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 is constant.

Front

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

Back

If a graph goes through the origin, it indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.

Front

How can you tell if a table represents a proportional relationship?

Back

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

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

What does a non-proportional relationship look like on a graph?

Back

A non-proportional relationship on a graph does not pass through the origin and may have varying slopes.

Front

If a table shows values of (2, 4), (3, 6), (4, 8), is it proportional?

Back

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

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality.

Front

What does it mean if a graph is a straight line?

Back

A straight line indicates a linear relationship, which can be proportional if it passes through the origin.

Front

How do you determine if a graph is proportional or non-proportional?

Back

Check if the graph passes through the origin; if it does, it is proportional; if not, it is non-proportional.

Front

What is an example of a non-proportional relationship?

Back

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