Proportional Relationships w/ 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 is constant.

Front

How can you identify a proportional relationship in a table?

Back

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

Front

What does it mean if a table is non-proportional?

Back

A non-proportional table means that the ratios of the values do not remain constant.

Front

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

Back

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

Front

What is the missing value if the table shows (1, 3), (2, ?), (3, 9)?

Back

The missing value is 6, as the relationship is proportional (y = 3x).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship.

Front

If a table shows (1, 2), (2, 5), (3, 8), is it proportional?

Back

No, it is not proportional because the ratios are not constant.

Front

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

Back

Divide the y-value by the x-value for any pair of values in the table.

Front

What does a slope of a line represent in a proportional relationship?

Back

The slope represents the constant of proportionality in a graph of a proportional relationship.

Front

If Abigail works 3 hours and earns $12, how much will she earn for 9 hours?

Back

She will earn $36, as the relationship is proportional.