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 table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of the values in one column to the values in another column is constant.

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 y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

What is the equation of a proportional relationship?

Back

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

Front

Is the relationship between the number of hours worked and the amount earned proportional?

Back

Yes, if the pay rate is constant, the relationship is proportional.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = x + 2, as it does not pass through the origin.

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, and divide the y-coordinate by the x-coordinate.

Front

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

Back

Yes, it is proportional because the ratio of y to x is always 3.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.