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, the quantities are 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 does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

Which equation represents a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

Identify the constant of proportionality in the equation y = 5x.

Back

k = 5.

Front

What is the constant of proportionality if y = 2x - 3?

Back

There is no constant of proportionality; this equation is not proportional.

Front

What is the constant of proportionality if y = 1/2x?

Back

k = 1/2.

Front

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

Back

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