Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How can you determine if a relationship is proportional from a table?

Back

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

Front

What is the equation of a direct variation?

Back

The equation of a direct variation is in the form y = kx, where k is the constant of proportionality.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does a proportional relationship look like on a graph?

Back

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

Front

If the constant of proportionality is 5, what is the equation?

Back

The equation is y = 5x.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, choose two points on the line, calculate the ratio of y to x for those points, and ensure it is constant.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

If a table shows (2, 6), (4, 12), (6, 18), is it proportional?

Back

Yes, the constant of proportionality is 3 (6/2, 12/4, 18/6 all equal 3).

Front

What is the slope of a line representing a proportional relationship?

Back

The slope of a line representing a proportional relationship is equal to the constant of proportionality.