Constant of Proportionality Review

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

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

Back

To find the constant of proportionality, divide the value of y by the corresponding value of x for any pair of values in the table. If the ratio is constant, the relationship is proportional.

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

If y = 4.25x, what is the constant of proportionality?

Back

The constant of proportionality is 4.25.

Front

What is the price per ticket if 4 tickets cost $252?

Back

The price per ticket is $63.00.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if the ratio of y to x is constant, meaning that as x increases, y increases at a consistent rate.

Front

How can you tell if a graph is not proportional?

Back

A graph is not proportional if it is not a straight line or if it does not pass through the origin.

Front

What is the equation for a proportional relationship if the constant of proportionality is 8?

Back

The equation is y = 8x.

Front

What is the constant of proportionality if y = 16x?

Back

The constant of proportionality is 16.