Identifying 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

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 and the table passes through the origin.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often denoted as k in the equation y = kx.

Front

If the constant of proportionality is 40, what does this mean?

Back

It means that for every unit increase in x, y increases by 40 units.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality expressed as a ratio of y to x when x is equal to 1.

Front

What does it mean if a table is not proportional?

Back

A table is not proportional if the ratios of corresponding values are not constant or if it does not pass through the origin.

Front

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

Back

To find the constant of proportionality, divide the value of y by the value of x for any pair of corresponding values.

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

If a table shows values (2, 4), (4, 8), (6, 12), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (2 in this case).

Front

What happens to the graph of a proportional relationship?

Back

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