Proportional Tables

Front

What is a proportional table?

Back

A proportional table is a table that shows two quantities that are in a constant ratio or relationship.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

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

Back

To find the constant of proportionality, divide one quantity by the corresponding quantity in the other column.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. In proportional tables, it shows how much one quantity is multiplied to get the other.

Front

What does it mean if a table does not have a constant of proportionality?

Back

If a table does not have a constant of proportionality, it means the relationship between the quantities is not proportional.

Front

If x = 10 and y = 30, what is the constant of proportionality?

Back

The constant of proportionality is 3, since 30 divided by 10 equals 3.

Front

Complete the ratio table: If x = 4, what is y if the constant of proportionality is 2?

Back

y = 8, since 4 multiplied by 2 equals 8.

Front

What is the relationship between x and y in a proportional table?

Back

In a proportional table, as x increases or decreases, y changes in a consistent manner based on the constant of proportionality.

Front

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

Back

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

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, y is the output, and x is the input.