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 is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities 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 passes through the origin (0,0) and is straight.

Front

What is the equation form of a proportional relationship?

Back

The equation form of a proportional relationship is y = kx.

Front

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

Back

The constant of proportionality is 3.

Front

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

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

How do you determine if a table represents a proportional relationship?

Back

To determine if a table represents a proportional relationship, check if the ratios of corresponding values are constant.

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

If the equation is y = 5x, what happens to y when x is doubled?

Back

When x is doubled, y also doubles, demonstrating the constant ratio.

Front

What is the graphical representation of y = 2x?

Back

The graphical representation is a straight line passing through the origin with a slope of 2.