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 of A and B, and A = 2, B = 6, what is the constant of proportionality?

Back

The constant of proportionality is 3, since 6 divided by 2 equals 3.

Front

Does the equation y = 3x represent a proportional relationship?

Back

Yes, because the ratio of y to x is constant (3).

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5.

Front

If Newtown middle school spends $11 on each yearbook, what is the total cost for 5 yearbooks?

Back

The total cost is $55 (11 x 5).

Front

Is the relationship between the number of hours worked and the amount earned proportional if you earn $15 per hour?

Back

Yes, it is proportional because the amount earned is directly related to the number of hours worked.

Front

What is the missing value of B if A = 4 and the constant of proportionality is 10?

Back

The missing value of B is 40 (4 x 10).

Front

If a table shows A = 3 and B = 12, is this a proportional relationship?

Back

Yes, because the ratio of B to A is 4, which is constant.