Proportional vs NonProportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate. For example, if y = kx, where k is a constant, then y is proportional to x.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. For example, y = mx + b (where b ≠ 0) represents a non-proportional relationship.

Front

How can you identify a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratio of y to x is constant for all pairs of values.

Front

What does the equation y = kx represent?

Back

This equation represents a proportional relationship where k is the constant of proportionality.

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear relationship that is non-proportional if b (the y-intercept) is not zero.

Front

How can you tell if a graph represents a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

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

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 (y/x = 2 for all pairs).

Front

If a graph does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it is non-proportional.

Front

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

Back

An example is the relationship between distance and time when traveling at a constant speed.