Graph Proportional Relationships (7th)

Front

What makes a graph proportional?

Back

A graph is proportional if it is linear and the line goes through the origin.

Front

What is the unit rate in a graph showing constant speed?

Back

The unit rate is the speed represented on the graph, for example, 50 if the graph shows 50 units of distance over a certain time.

Front

Who has a proportional relationship between distance and time?

Back

A person who runs at a constant speed has a proportional relationship between distance and time.

Front

Does a graph of income and expenses represent a proportional relationship?

Back

No, because it doesn't pass through the origin.

Front

What is Taylor's writing speed if the graph shows 25 words per minute?

Back

Taylor can write 25 words per minute.

Front

What does it mean if a graph is linear?

Back

A linear graph shows a constant rate of change, represented by a straight line.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) indicates that when the independent variable is zero, the dependent variable is also zero, which is essential for proportionality.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified if the graph is a straight line that passes through the origin.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

If a graph shows a curvy line, what does it indicate about the relationship?

Back

A curvy line indicates a non-linear relationship, which is not proportional.