1.5 Graph 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 on a graph?

Back

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

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates a non-proportional relationship.

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 find the unit rate from a graph?

Back

To find the unit rate from a graph, determine the slope of the line, which represents the change in the y-value for each unit change in the x-value.

Front

What does a straight line on a graph indicate?

Back

A straight line on a graph indicates a constant rate of change between the two variables.

Front

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

Back

The slope represents the unit rate in a proportional relationship, showing how much one quantity changes in relation to another.

Front

If a graph shows that Taylor can write 25 words per minute, what does this mean?

Back

This means that for every minute, Taylor writes 25 words, indicating a constant rate of writing.

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 have a constant ratio and do not pass through the origin.

Front

How can you tell if a relationship is non-proportional from a table of values?

Back

If the ratios of corresponding values are not constant, the relationship is non-proportional.