Proportions, better buy, and unit rates

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you travel 150 miles on 5 gallons, the unit rate is 150 miles ÷ 5 gallons = 30 miles per gallon.

Front

What does it mean if a table is proportional?

Back

A table is proportional if the ratios of the quantities are constant and the unit rate is the same for all pairs of values.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you determine if a table is not proportional?

Back

A table is not proportional if the unit rates are not constant or if it does not pass through the origin.

Front

What is a unit price?

Back

A unit price is the cost per single unit of measure, which helps compare prices of different products.

Front

How do you calculate the unit price?

Back

To calculate the unit price, divide the total price by the total weight or quantity. For example, if Oreos cost $2.98 for 15.5 oz, the unit price is $2.98 ÷ 15.5 oz.

Front

What is the better buy when comparing two products?

Back

The better buy is the product with the lower unit price.

Front

If a table shows the number of trees and apples, what indicates it is proportional?

Back

If the ratio of trees to apples remains constant across all entries in the table, it is proportional.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is if 2 apples cost $1, then 4 apples would cost $2, maintaining the same ratio.