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

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 the same.

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 constant of proportionality?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratios of the quantities are not constant, and the graph does not pass through the origin.

Front

How can you tell if a graph is not proportional?

Back

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

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.

Front

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

Back

A real-world example of a non-proportional relationship is the cost of a phone plan that has a fixed monthly fee plus a charge per minute.