Proportional Tables and Graphs

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

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin, it indicates that when one quantity is zero, the other quantity is also zero, showing a proportional relationship.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 3 pounds of apples cost $3.60, the unit rate is $3.60 ÷ 3 = $1.20 per pound.

Front

What is the unit rate of $20.40 earned in 3 hours?

Back

The unit rate is $20.40 ÷ 3 = $6.80 per hour.

Front

What is the y-axis in a graph?

Back

The y-axis is the vertical axis in a graph, representing the dependent variable.

Front

What is the x-axis in a graph?

Back

The x-axis is the horizontal axis in a graph, representing the independent variable.

Front

What does a straight line on a graph indicate?

Back

A straight line on a graph indicates a constant rate of change, which can represent a proportional relationship.

Front

If a graph shows a non-proportional relationship, what can be inferred?

Back

If a graph shows a non-proportional relationship, it does not pass through the origin, indicating that the ratio between the two quantities is not constant.

Front

What is the significance of the slope in a graph?

Back

The slope of a graph indicates the rate of change between the two variables; a steeper slope means a greater rate of change.

Front

How can you determine if a table of values represents a proportional relationship?

Back

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