Pre- al: fractional rates

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 single unit. It is often used to determine the cost per item, speed, or efficiency.

Front

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

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if you have 200 miles traveled in 4 hours, the unit rate is 200 miles ÷ 4 hours = 50 miles per hour.

Front

What is the formula to find the unit price of an item?

Back

The unit price can be found by dividing the total price by the number of units. For example, if a pack of 10 slices costs $2.48, the unit price is $2.48 ÷ 10 slices = $0.248 per slice.

Front

How do you compare unit prices to find the better deal?

Back

To compare unit prices, calculate the unit price for each option and then compare the values. The option with the lower unit price is the better deal.

Front

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

Back

Understanding unit rates helps individuals make informed decisions about purchases, travel, and other activities by allowing them to compare costs and efficiencies.

Front

How do you convert a fraction to a rate?

Back

To convert a fraction to a rate, divide the numerator by the denominator and express it in terms of a specific unit. For example, 1/5 of a minute can be converted to a rate by determining how many times that fraction fits into a whole minute.

Front

What is the unit rate of pay if someone earns $300 for 12 hours of work?

Back

To find the unit rate of pay, divide the total earnings by the total hours worked: $300 ÷ 12 hours = $25 per hour.

Front

How can you express a rate in different units?

Back

To express a rate in different units, you can convert the quantities involved to the desired units. For example, to convert miles per hour to feet per second, use the conversion factors for miles to feet and hours to seconds.

Front

What is the relationship between speed and unit rates?

Back

Speed is a type of unit rate that measures the distance traveled per unit of time, typically expressed in miles per hour or kilometers per hour.

Front

How do you determine the rate of consumption or production?

Back

To determine the rate of consumption or production, divide the total amount consumed or produced by the time taken. For example, if 10 pies are eaten in 4 minutes, the rate is 10 pies ÷ 4 minutes = 2.5 pies per minute.