Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It shows how one quantity changes in relation to another.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality, divide the value of one quantity by the corresponding value of the other quantity. If the ratio is constant for all pairs, the relationship is proportional.

Front

If Craig earns $37 for 4 hours, what is his hourly rate?

Back

$9.25 per hour.

Front

If Craig earns $64.75 for 7 hours, what is his hourly rate?

Back

$9.25 per hour.

Front

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

Back

The constant of proportionality is 40.

Front

Which of the following represents a proportional relationship: (1, 2), (2, 4), (3, 6)?

Back

Yes, because the ratio of y to x is constant (2).

Front

What does a proportional graph look like?

Back

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

Front

Identify the constant of proportionality in the equation y = kx when k = 25.

Back

The constant of proportionality is 25.

Front

What is the constant of proportionality if the relationship is not proportional?

Back

If the relationship is not proportional, there is no constant of proportionality.

Front

Which graphs are proportional?

Back

Graphs that are straight lines passing through the origin are proportional.