Proportional Vs Non Proportional of 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. This means that as one quantity increases or decreases, the other quantity does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant. This means that the change in one quantity does not consistently affect the other quantity.

Front

How can you identify a proportional graph?

Back

A graph is proportional if it passes through the origin (0,0) and forms a straight line. The slope of the line represents the constant ratio.

Front

How can you identify a non-proportional graph?

Back

A graph is non-proportional if it does not pass through the origin or if it forms a curve or a line that does not have a constant slope.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship can be expressed in various forms, such as y = mx + b, where b is not equal to zero.

Front

Give 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

Give an example of a non-proportional relationship in real life.

Back

An example of a non-proportional relationship is the relationship between the number of hours worked and the total pay when there is a base salary plus overtime pay.

Front

What does the slope of a proportional graph represent?

Back

The slope of a proportional graph represents the constant ratio between the two quantities.

Front

What does the y-intercept of a non-proportional graph represent?

Back

The y-intercept of a non-proportional graph represents the value of y when x is zero, indicating a starting point that is not zero.