Proportionality in Tables, Graphs, and Equations

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the constant of proportionality in a proportional relationship?

Back

The constant of proportionality can be found by dividing one quantity by the other in a ratio.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be represented by a straight line through the origin on a graph.

Front

What is the formula for finding the constant of proportionality (k)?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

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

Back

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

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation of a proportional relationship is a straight line that passes through the origin.

Front

What is the significance of the constant of proportionality in real-world problems?

Back

The constant of proportionality helps to understand the relationship between two quantities and can be used to make predictions.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown variable.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

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.