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 is constant.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often denoted as 'k'.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality expressed as a ratio of one quantity to one unit of another quantity.

Front

If a table shows values (2, 10), (4, 20), (6, 30), is it proportional?

Back

Yes, the table is proportional because the ratio (y/x) is constant (5).

Front

What does it mean if a relationship does not pass through the origin?

Back

If a relationship does not pass through the origin, it indicates that the relationship is not proportional.

Front

How do you find the missing value in a proportional table?

Back

To find the missing value, set up a proportion using the known values and solve for the unknown.

Front

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

Back

An example is the cost of apples: if 1 apple costs $2, then 3 apples cost $6, maintaining a constant ratio.

Front

What is the formula for finding the constant of proportionality?

Back

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

Front

If the constant of proportionality is 15, what is the relationship between x and y?

Back

The relationship can be expressed as y = 15x.