Constant of Proportionality (Tables & Graphs)

Front

What is the Constant of Proportionality?

Back

The Constant of Proportionality (k) is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

What does k represent in a proportional relationship?

Back

k represents the constant ratio between two variables in a proportional relationship.

Front

If a table shows values (2, 8), (4, 16), (6, 24), what is the constant of proportionality?

Back

k = 4, since 8/2 = 4, 16/4 = 4, and 24/6 = 4.

Front

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

Back

The constant of proportionality can be found by determining the slope of the line in a graph of proportional relationships.

Front

What is the formula to calculate the constant of proportionality?

Back

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 the constant of proportionality if the values are (1, 5), (2, 10), (3, 15)?

Back

k = 5, since 10/2 = 5 and 15/3 = 5.

Front

If a table shows a constant of proportionality of 1/4, what does this indicate?

Back

It indicates that for every 4 units of x, y increases by 1 unit.

Front

What does it mean if a relationship is not proportional?

Back

It means that the ratio between the two quantities is not constant.

Front

How can you tell if a table represents a proportional relationship?

Back

If the ratios of y to x are the same for all pairs of values, the relationship is proportional.