Rates, Unit Rates & Proportions

Front

What is a proportion?

Back

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

Front

How do you find a unit rate?

Back

To find a unit rate, divide the quantity by the number of units. For example, if you earn $90 in 5 hours, the unit rate is $90 ÷ 5 = $18 per hour.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What is the unit rate of 408 words typed in 4 minutes?

Back

The unit rate is 408 words ÷ 4 minutes = 102 words per minute.

Front

If it snowed 14 inches in 5 hours, what is the unit rate of snowfall per hour?

Back

The unit rate is 14 inches ÷ 5 hours = 2.8 inches per hour.

Front

What does it mean if two quantities are in direct proportion?

Back

If two quantities are in direct proportion, as one quantity increases, the other quantity increases at a constant rate.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

In a fish tank, if the ratio of red fish to blue fish is 3:5 and there are 20 blue fish, how many red fish are there?

Back

There are 12 red fish.

Front

What is a unit rate in the context of speed?

Back

A unit rate in the context of speed is the distance traveled per unit of time, such as miles per hour.