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 quantity 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.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the factor by which one quantity is multiplied to obtain the other quantity in a proportional relationship.

Front

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

Back

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

Front

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

Back

No, because the ratios are not constant.

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x.

Front

If the constant of proportionality is 150, what does this mean?

Back

It means that for every unit increase in x, y increases by 150 units.

Front

Can a proportional relationship be represented by a straight line on a graph?

Back

Yes, a proportional relationship is represented by a straight line that passes through the origin on a graph.

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 (5, 10), (10, 20), (15, 30), what is the constant of proportionality?

Back

The constant of proportionality is 2.