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 is constant.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Front

How can you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship can be identified if the graph does not pass through the origin or if it is not a straight line.

Front

What is the equation for a proportional relationship with a constant of proportionality of 5?

Back

y = 5x.

Front

If a table shows the values (2,4), (3,6), (4,8), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (2:1).

Front

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

Back

A table is non-proportional if the ratios of the corresponding values of x and y are not constant.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is equal to the constant of proportionality (k).

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = x + 2, as it does not pass through the origin.