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 (e.g., miles per hour, price per item).

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 it costs $46.80 for 13 gallons of gas, the unit rate is $46.80 ÷ 13 = $3.60 per gallon.

Front

If a teacher grades 25 assignments in 20 minutes, how do you find the rate of grading per assignment?

Back

To find the rate per assignment, divide the total time by the number of assignments. In this case, 20 minutes ÷ 25 assignments = 0.8 minutes per assignment.

Front

What is the significance of comparing rates in problem-solving?

Back

Comparing rates helps determine efficiency and effectiveness in various contexts, such as speed, cost, and productivity.

Front

How do you convert miles driven and gallons used into miles per gallon?

Back

To find miles per gallon, divide the total miles driven by the total gallons used. For example, 231 miles ÷ 7 gallons = 33 miles per gallon.

Front

What is the formula for calculating price per item?

Back

The formula for calculating price per item is: Price per item = Total price ÷ Number of items.

Front

If 9 candy bars cost $13.50, how do you find the price per candy bar?

Back

To find the price per candy bar, divide the total cost by the number of candy bars: $13.50 ÷ 9 = $1.50 per candy bar.

Front

What does it mean if a rate is described as 'slower' or 'faster'?

Back

A 'slower' rate means that it takes more time to complete a task compared to another rate, while a 'faster' rate indicates that the task is completed in less time.

Front

How can you determine if one rate is better than another?

Back

To determine if one rate is better, compare the unit rates. The lower the cost per unit or the higher the output per unit of time, the better the rate.

Front

What is the unit rate for 25 pens purchased for $1.00?

Back

The unit rate is calculated by dividing the total cost by the number of pens: $1.00 ÷ 25 pens = $0.04 per pen.