Unit Rates & Constant Of Proportionality

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate the unit price?

Back

To calculate the unit price, divide the total price by the number of units. For example, if a 12-pack of soda costs $6, the unit price is $6 ÷ 12 = $0.50 per can.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities. It can be found by dividing one quantity by the other.

Front

If a recipe requires 4 cups of flour for 2 loaves of bread, what is the constant of proportionality for flour per loaf?

Back

The constant of proportionality is 2 cups of flour per loaf (4 cups ÷ 2 loaves = 2 cups/loaf).

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if they can be simplified to the same fraction or if their cross products are equal.

Front

What is the formula for finding the unit rate?

Back

The formula for finding the unit rate is: Unit Rate = Total Quantity ÷ Number of Units.

Front

If a car travels 150 miles on 5 gallons of gas, what is the unit rate of miles per gallon?

Back

The unit rate is 30 miles per gallon (150 miles ÷ 5 gallons = 30 miles/gallon).

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What does it mean if a graph represents a proportional relationship?

Back

If a graph represents a proportional relationship, it will be a straight line that passes through the origin (0,0).

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How do you find the best buy when comparing prices?

Back

To find the best buy, calculate the unit price for each option and compare them. The option with the lowest unit price is the best buy.

Front

If a store sells 3 pounds of apples for $6, what is the price per pound?

Back

The price per pound is $2 (6 dollars ÷ 3 pounds = 2 dollars/pound).