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

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

How can you identify a proportional relationship on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Front

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

Back

If a graph is linear but does not pass through the origin, it represents a non-proportional relationship.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit. For example, 60 miles per hour.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the equation y = 2x + 3, which is linear but does not pass through the origin.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not have a constant ratio and do not pass through the origin.

Front

If a graph shows a straight line, what can you conclude?

Back

If a graph shows a straight line, it can be either a proportional or non-proportional relationship, depending on whether it passes through the origin.

Front

What is the formula for finding the constant of proportionality?

Back

The formula for finding the constant of proportionality is k = y/x, where y is the dependent variable and x is the independent variable.