Recognize Proportional Relationships

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 graph?

Back

In a graph, a proportional relationship is represented by a straight line that passes through the origin (0,0).

Front

What does it mean if a table does not represent a proportional relationship?

Back

If a table does not represent a proportional relationship, the ratios of the quantities do not remain 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' in the equation y = kx.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What is an example of a proportional relationship?

Back

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

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities changes, meaning they do not maintain a constant ratio.

Front

How can you tell if a set of ratios is proportional?

Back

You can tell if a set of ratios is proportional by checking if the ratios can be simplified to the same value.

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

What is a real-world example of a proportional relationship?

Back

A real-world example of a proportional relationship is the cost of apples per pound; if the price per pound is constant, the total cost is proportional to the weight.