Proportional Relationships

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 does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often denoted as 'k'.

Front

How can you identify a proportional relationship from a graph?

Back

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

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

If a table shows values (2, 4), (3, 6), (4, 8), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (2:1).

Front

If a table shows values (1, 2), (2, 5), (3, 7), is it proportional?

Back

No, it is not proportional because the ratio of y to x is not constant.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y and x are the quantities.

Front

What does a non-proportional graph look like?

Back

A non-proportional graph may be a straight line that does not pass through the origin or a curve.

Front

If the constant of proportionality is $9, what is the relationship between x and y?

Back

The relationship can be expressed as y = 9x.

Front

How do you determine if a graph is proportional by looking at its slope?

Back

If the slope of the line is constant and the line passes through the origin, it is proportional.