Tables, Graphs, & Equations 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 is constant.

Front

How do you determine if a table represents a proportional relationship?

Back

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

Front

What does it mean for a graph to be proportional?

Back

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

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is 1.

Front

How can you find the rate of change from a graph?

Back

The rate of change can be found by determining the slope of the line on the graph.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because a proportional relationship must pass through this point.

Front

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

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

How do you calculate the rate of change from a table?

Back

To calculate the rate of change from a table, divide the change in the dependent variable by the change in the independent variable.

Front

What is the formula for finding the slope of a line?

Back

The formula for finding the slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is a constant rate of change?

Back

A constant rate of change means that the change in one quantity is consistent for every unit change in another quantity.