Ratio and Rate Reasoning

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 or the speed per time.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

To calculate the unit rate, divide the total cost by the quantity. For example, if a subscription costs $75 for 6 months, the unit rate is $75 ÷ 6 = $12.50 per month.

Front

If 12 pencils cost $3, how do you find the cost per pencil?

Back

To find the cost per pencil, divide the total cost by the number of pencils: $3 ÷ 12 = $0.25 per pencil.

Front

How can you determine how many items you can buy with a different amount of money?

Back

To determine how many items you can buy, first find the unit price (cost per item) and then divide the new amount of money by the unit price.

Front

What is the average speed formula?

Back

Average speed is calculated using the formula: Average Speed = Total Distance ÷ Total Time.

Front

If a car travels 104 miles in 4 hours, what is its average speed?

Back

The average speed is 104 miles ÷ 4 hours = 26 miles per hour.

Front

What is the rate of speed?

Back

Rate of speed refers to the distance traveled per unit of time, often expressed in units such as miles per hour or feet per minute.

Front

How do you convert a distance and time into a rate of speed?

Back

To convert distance and time into a rate of speed, divide the distance by the time taken. For example, if a caterpillar crawls 20 feet in 25 minutes, the rate is 20 ft ÷ 25 min = 0.8 feet per minute.

Front

What is a better unit price?

Back

A better unit price is the lower cost per item when comparing different options. It allows consumers to determine which option provides more value.

Front

How do you compare unit prices of different quantities?

Back

To compare unit prices, calculate the cost per unit for each option and compare those values. The option with the lower cost per unit is the better deal.