Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities, expressed as y = kx.

Front

If y = 30x, what is the constant of proportionality?

Back

k = 30

Front

If y = 15x, what is the constant of proportionality?

Back

k = 15

Front

How do you determine if a relationship is proportional?

Back

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

Front

What does it mean if the constant of proportionality is 'none'?

Back

It means that the relationship between the variables is not proportional.

Front

If a graph shows a straight line through the origin, what can be said about the constant of proportionality?

Back

The relationship is proportional, and the slope of the line represents the constant of proportionality.

Front

What is the constant of proportionality for the equation y = 40x?

Back

k = 40

Front

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

Back

'k' represents the constant of proportionality.

Front

If the constant of proportionality is 1/16, what does this indicate about the relationship?

Back

It indicates that for every unit increase in x, y increases by 1/16.

Front

How can you express the constant of proportionality from a table of values?

Back

By finding the ratio of y to x for any pair of corresponding values.