Proportional Relationships/Constants of Proportionality

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values are equal.

Front

If x = 2 and y = 6, what is the constant of proportionality?

Back

The constant of proportionality k = y/x = 6/2 = 3.

Front

Is the relationship represented by the table (1, 2), (2, 4), (3, 6) proportional?

Back

Yes, the relationship is proportional because the ratio y/x is constant (2, 2, 2).

Front

Is the relationship represented by the table (1, 3), (2, 5), (3, 7) proportional?

Back

No, the relationship is not proportional because the ratios are not constant.

Front

What does it mean if a table is not proportional?

Back

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

Front

If the constant of proportionality is 4, what is y when x = 5?

Back

y = k * x = 4 * 5 = 20.

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation of a proportional relationship is a straight line that passes through the origin.

Front

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

Back

To find the constant of proportionality from a graph, determine the slope of the line, which represents k.