Proportional Relationships - 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 quantity is constant.

Front

How can you determine if two quantities are proportional using a table?

Back

If the ratios of the corresponding values in the table are equal, then the quantities are proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities.

Front

If 10 roses cost $30, how much do 30 roses cost?

Back

$90 (30 roses = 3 times 10 roses, so $30 x 3 = $90).

Front

What does it mean if a table shows a proportional relationship?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

How do you find the unit rate in a proportional relationship?

Back

Divide the total amount by the number of units to find the cost per unit.

Front

If a 20-pound bag of dog food costs $47.60, what is the cost per pound?

Back

$2.38 per pound (47.60 / 20 = 2.38).

Front

What is an example of a non-proportional relationship?

Back

A relationship where the ratio between two quantities changes, such as a table showing different prices for different quantities that do not maintain a constant ratio.

Front

If a table shows the number of items and their total cost, how can you tell if the cost is proportional to the number of items?

Back

Check if the total cost divided by the number of items gives the same result for all entries.

Front

What is the formula for finding the constant of proportionality?

Back

k = y/x, where k is the constant of proportionality, y is the total amount, and x is the number of units.