Non Proportional Relationships

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio of the quantities is not constant.

Front

How can you identify a proportional relationship in a graph?

Back

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

Front

What does it mean if an equation does not show a proportional relationship?

Back

It means that the equation does not have a constant ratio between the variables, often indicated by a non-zero y-intercept.

Front

What is the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, representing the value of y when x is 0.

Front

If a table shows a constant ratio between x and y, what type of relationship is it?

Back

It shows a proportional relationship.

Front

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

Back

An example is earning $10 for every hour worked, where the total pay is directly proportional to the hours worked.

Front

What does a slope of 0 indicate in a relationship?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes, which is non-proportional.

Front

Can a relationship be proportional if it has a non-zero y-intercept?

Back

No, a proportional relationship must have a y-intercept of 0.

Front

What is the formula for a proportional relationship?

Back

The formula is y = kx, where k is a constant.

Front

How do you determine if a graph is proportional or non-proportional?

Back

Check if the line passes through the origin; if it does, it's proportional; if it doesn't, it's non-proportional.