Constant of Proportionality (Tables)

Front

What is the constant of proportionality?

Back

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

Front

How do you identify a proportional relationship in a table?

Back

A proportional relationship can be identified if the ratio of the values in one column to the values in another column is constant.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, the ratios of the corresponding values do not remain constant.

Front

If the constant of proportionality is 3, what does this imply about the relationship?

Back

It implies that for every unit increase in the independent variable, the dependent variable increases by 3 units.

Front

What is an example of a proportional relationship?

Back

An example is the relationship between distance and time at a constant speed, where distance = speed × time.

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a table shows values (2, 4), (3, 6), (4, 8), what is the constant of proportionality?

Back

The constant of proportionality is 2, since 4/2 = 6/3 = 8/4 = 2.

Front

What does a proportional graph look like?

Back

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

Front

What is the significance of the origin in a proportional relationship?

Back

The origin represents the point where both variables are zero, indicating that there is no relationship when one variable is zero.

Front

How can you tell if a graph is non-proportional?

Back

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