Interpreting Proportional Graphs

Front

What is a proportional graph?

Back

A graph that shows the relationship between two quantities that are proportional to each other, meaning they maintain a constant ratio.

Front

What does the unit rate represent?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. It shows how much of one quantity corresponds to one unit of another quantity.

Front

How do you identify the unit rate from a graph?

Back

The unit rate can be identified by finding the slope of the line on the graph, which represents the change in the dependent variable for a one-unit change in the independent variable.

Front

What does the point (0,0) signify on a proportional graph?

Back

It signifies that when there are zero units of the independent variable, there are also zero units of the dependent variable.

Front

If the ordered pair (1, 2) is on a proportional graph, what does it mean?

Back

It means that for every 1 unit of the independent variable, there are 2 units of the dependent variable.

Front

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

Back

The slope represents the unit rate, indicating how much the dependent variable changes for each unit change in the independent variable.

Front

True or False: The point (1, 0.5) indicates mixing 0.5 quart of red paint with 1 quart of green paint.

Back

True

Front

How can you determine if a graph is proportional?

Back

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

Front

What does the ordered pair (2, 1) represent in a proportional relationship?

Back

It represents that for every 2 units of the independent variable, there is 1 unit of the dependent variable.

Front

What is the formula for calculating the unit rate?

Back

Unit Rate = Total Quantity / Number of Units.