Graphs of 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 quantity is constant.

Front

How can you identify a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratios of the corresponding values are equal.

Front

What does the constant of proportionality represent?

Back

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

Front

If a graph shows a straight line through the origin, what does it indicate?

Back

It indicates a proportional relationship between the two variables.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

How do you find the unit rate from a graph?

Back

You can find the unit rate by determining the slope of the line, which represents the change in the dependent variable for a one-unit change in the independent variable.

Front

What does the point (4, 2) represent in a proportional relationship?

Back

It means that 4 units of one quantity correspond to 2 units of another quantity.

Front

If $500 is earned for every 8 hours worked, what is the unit rate?

Back

The unit rate is $62.50 per hour.

Front

What is the significance of the origin (0,0) in a graph of proportional relationships?

Back

The origin represents the point where both quantities are zero, indicating that there is no relationship when neither quantity is present.

Front

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

Back

Check if the line is straight and passes through the origin.