Equations: Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

If the constant of proportionality is 10, what is the proportional equation?

Back

y = 10x.

Front

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

Back

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

Front

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

Back

A non-proportional relationship does not maintain a constant ratio between the two quantities, meaning the graph does not pass through the origin.

Front

Write the equation for a proportional relationship where k = 4.

Back

y = 4x.

Front

What is the simplified fraction for k if y = (1/4)x?

Back

k = 1/4.

Front

If y = 28x, what is the constant of proportionality?

Back

k = 28.

Front

What is the equation for a proportional relationship with k = 1/8?

Back

y = (1/8)x.

Front

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

Back

Divide the value of y by the corresponding value of x for any pair of values (y/x = k).

Front

What is the relationship between x and y in the equation y = kx?

Back

y is directly proportional to x, with k as the constant of proportionality.