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, dollars 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 15 pizzas cost $97.50, the unit rate is $97.50 ÷ 15 = $6.50 per pizza.

Front

If a person travels 36 miles in 6 hours, how do you find their speed in miles per hour?

Back

To find the speed, divide the total distance by the total time. In this case, 36 miles ÷ 6 hours = 6 mph.

Front

What is the unit rate for 4 chocolate bars costing $2.00?

Back

To find the unit rate, divide the total cost by the number of bars: $2.00 ÷ 4 bars = $0.50 per bar.

Front

How do you determine the hourly wage from total earnings and hours worked?

Back

To determine the hourly wage, divide the total earnings by the total hours worked. For example, if someone earns $200 for 8 hours, the wage is $200 ÷ 8 hours = $25 per hour.

Front

What is the formula for calculating unit rates?

Back

The formula for calculating unit rates is: Unit Rate = Total Quantity / Number of Units.

Front

Why is understanding unit rates important in real-life applications?

Back

Understanding unit rates helps in making informed decisions, comparing prices, and understanding speeds or efficiencies in various contexts.

Front

How can you convert a unit rate into a different unit?

Back

To convert a unit rate into a different unit, multiply or divide by the appropriate conversion factor. For example, to convert miles per hour to kilometers per hour, multiply by 1.60934.

Front

What is the unit rate of $45 earned for babysitting 6 hours?

Back

To find the unit rate, divide $45 by 6 hours: $45 ÷ 6 = $7.50 per hour.

Front

How do you interpret a unit rate in a practical scenario?

Back

A unit rate provides a clear understanding of how much of one quantity corresponds to one unit of another, making it easier to compare and evaluate options.