Identifying Proportional Relationships

Front

What makes a graph proportional?

Back

A graph is proportional if it is linear and the line goes through the origin.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are proportional, often represented as 'k' in the equation y = kx.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line is straight and passes through the origin (0,0).

Front

What does it mean if a graph is non-proportional?

Back

A graph is non-proportional if it does not represent a constant ratio between the x and y values, often indicated by a line that does not pass through the origin.

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 is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a table shows values of x and y that are proportional, what can you say about the ratios of y to x?

Back

If the values are proportional, the ratios of y to x will be constant for all pairs of values.

Front

What does a curvy line on a graph indicate about the relationship between x and y?

Back

A curvy line indicates a non-proportional relationship, as the ratio between x and y is not constant.

Front

How can you tell if two quantities are not proportional?

Back

Two quantities are not proportional if their ratios are not equal or if a graph of their relationship does not form a straight line through the origin.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero.