Proportional Relationships in Tables FLASHCARD

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 do you determine if a table is proportional?

Back

A table is proportional if the ratios of corresponding values are equal.

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

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

Back

Divide one quantity by the corresponding quantity to find the constant of proportionality.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Front

If you travel 150 miles on 5 gallons, what is the unit rate in miles per gallon?

Back

30 miles per gallon.

Front

What is the formula to find the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a table shows values (2, 6), (4, 12), and (6, 18), is it proportional?

Back

Yes, because the ratios (6/2, 12/4, 18/6) are all equal to 3.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratios of the quantities are not constant.

Front

How can you represent a proportional relationship graphically?

Back

A proportional relationship can be represented by a straight line that passes through the origin on a graph.