Constant of Proportionality: Data Tables

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 do you determine if a table represents proportional data?

Back

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

Front

What is the equation of a proportional relationship?

Back

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

Front

If y = 8x, what is the constant of proportionality?

Back

The constant of proportionality is 8.

Front

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

Back

A graph is non-proportional if the relationship between the variables does not maintain a constant ratio.

Front

How can you find the missing value in a proportional table?

Back

To find the missing value, set up a proportion using the known values and solve for the unknown.

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

In a proportional relationship, the slope of the line on a graph represents the constant of proportionality.

Front

If Nancy types 50 words per minute, how would you express this relationship in an equation?

Back

The relationship can be expressed as w = 50m, where w is the number of words and m is the number of minutes.

Front

What is the significance of the y-intercept in a proportional relationship?

Back

In a proportional relationship, the y-intercept is always 0, indicating that when x is 0, y is also 0.

Front

How do you convert a table of values into an equation?

Back

To convert a table of values into an equation, identify the constant of proportionality and use it to write the equation in the form y = kx.