Constant of proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in a relationship expressed as y = kx.

Front

How can you identify if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of the two quantities is constant for all pairs of values.

Front

What is the equation form of a proportional relationship?

Back

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

Front

In the equation y = kx, what does 'k' represent?

Back

In the equation y = kx, 'k' represents the constant of proportionality.

Front

If k = 6, what does this mean in a proportional relationship?

Back

If k = 6, it means that for every unit increase in x, y increases by 6.

Front

What does a non-proportional relationship look like on a graph?

Back

A non-proportional relationship on a graph does not pass through the origin and the points do not form a straight line.

Front

How can you determine 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 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 a table shows the values (1,2), (2,4), (3,6), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (2 in this case).

Front

What happens to the value of y if x is doubled in a proportional relationship?

Back

If x is doubled in a proportional relationship, y will also double.