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 of values?

Back

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

Front

What does a proportional graph look like?

Back

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

Front

If the constant of proportionality is 9, what does this mean in a real-world context?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 9 units.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

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

Back

You can find the constant of proportionality by determining the slope of the line, which is the change in y divided by the change in x.

Front

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

Back

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

Front

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

Back

A table is non-proportional if the ratios of the values in one column to the values in another column are not constant.

Front

How can you write an equation for a proportional relationship given a constant of proportionality?

Back

You can write the equation as y = kx, substituting k with the constant of proportionality.

Front

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

Back

The origin (0,0) is significant because it indicates that when the independent variable is zero, the dependent variable is also zero.