Identify Proportional Relationships and Equations

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are proportional. For example, if there are 1/3 cup of almonds for each cup of oats, then 1/3 is the constant of proportionality.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between the two quantities remains constant. This can be checked by creating a table of values and ensuring that the ratios of corresponding values are equal.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant. For example, if y is always twice x, then y and x have a proportional relationship.

Front

Write the equation for a proportional relationship where y is 5 times x.

Back

The equation is y = 5x.

Front

What does it mean if a table of values is not proportional?

Back

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

Front

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

Back

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

Front

What is the equation for a proportional relationship where y is 8 times x?

Back

Front

If you have 6 cups of almonds for each cup of oats, what is the constant of proportionality?

Back

The constant of proportionality is 6.

Front

What is the first step to writing an equation from a proportional table?

Back

The first step is to identify the constant of proportionality by finding the ratio of y to x.

Front

Can a relationship be proportional if the ratio changes?

Back

No, a relationship cannot be proportional if the ratio changes; it must remain constant.