Proportional Relationships in Tables, Graphs, and Equations

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 identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratios of the corresponding values are the same for all pairs.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something.

Front

How do you calculate the unit rate from a table of values?

Back

To calculate the unit rate from a table of values, divide the value of one quantity by the corresponding value of the other quantity.

Front

What is the significance of the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, representing how much one quantity changes in relation to another.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the corresponding values are not constant.

Front

How can you determine if a graph represents a proportional relationship?

Back

You can determine if a graph represents a proportional relationship by checking if it is a straight line that passes through the origin.

Front

What is the relationship between the slope of a line and proportional relationships?

Back

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

Front

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

Back

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