Proportional Relationships with Tables

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 using a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are the same.

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

If a table shows values of x and y, how do you find the constant of proportionality?

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 does it mean if a table does not show a proportional relationship?

Back

If a table does not show a proportional relationship, it means that the ratios of corresponding values are not constant.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

If a table shows x values of 1, 2, 3 and corresponding y values of 2, 4, 6, is this proportional?

Back

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

Front

What is the ratio of y to x if x = 5 and y = 15?

Back

The ratio of y to x is 3:1.

Front

How do you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal when comparing corresponding values.

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality.