Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities. It is found by dividing one quantity by the other.

Front

How can you identify a proportional relationship in a graph?

Back

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

Front

What does it mean if a table is proportional?

Back

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

Front

What is the formula to find 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 k = 3, what does this mean in a proportional relationship?

Back

It means that for every unit increase in x, y increases by 3 units.

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

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

Front

How do you determine if a set of points is proportional?

Back

You can determine if a set of points is proportional by checking if the ratios of y to x are the same for all points.

Front

What does it mean if the constant of proportionality is zero?

Back

If the constant of proportionality is zero, it means that the dependent variable does not change regardless of the independent variable.

Front

What is the constant of proportionality for the equation y = 5x?

Back

The constant of proportionality is 5.