Rates and Unit Rates

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, such as miles per hour or cost per item.

Front

How do you calculate a unit rate from a total amount?

Back

To calculate a unit rate, divide the total amount by the number of units. For example, if you earn $96 for mowing 8 lawns, the unit rate is $96 ÷ 8 = $12 per lawn.

Front

What is the formula for finding the total amount using a unit rate?

Back

The formula is: Total Amount = Unit Rate × Number of Units.

Front

What is a rate in mathematical terms?

Back

A rate is a ratio that compares two different quantities, typically with different units, such as speed (miles per hour) or cost (dollars per pound).

Front

How can you convert a rate into a unit rate?

Back

To convert a rate into a unit rate, divide both quantities by the same number to find the equivalent rate for one unit of the second quantity.

Front

If a machine packs 70 boxes in 5 minutes, how do you find the rate of boxes packed per minute?

Back

To find the rate, divide the number of boxes by the time: 70 boxes ÷ 5 minutes = 14 boxes per minute.

Front

What is the cost per pound if 4 pounds of bananas cost $6?

Back

To find the cost per pound, divide the total cost by the weight: $6 ÷ 4 pounds = $1.50 per pound.

Front

What is the significance of understanding rates and unit rates in real life?

Back

Understanding rates and unit rates helps in making informed decisions, such as comparing prices, calculating speeds, and understanding efficiency.

Front

How do you find the total number of boxes packed if you know the rate and time?

Back

Multiply the rate of packing by the time: Total Boxes = Rate × Time.

Front

What is an example of a rate used in everyday life?

Back

An example of a rate is speed, such as driving at 60 miles per hour.