Unit Rates and Comparing 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, cost per item).

Front

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

Back

To calculate a 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 Ben drinks 1/2 liter of tea every 2/3 of an hour, how do you find his drinking rate per hour?

Back

To find the rate per hour, divide the amount of tea by the time in hours. Convert 2/3 hour to hours (2/3 = 0.67 hours), then calculate (1/2 liter) ÷ (2/3 hour) = (1/2) * (3/2) = 3/4 liter per hour.

Front

What is the unit rate of 75 pieces of candy in a 15 oz bag?

Back

To find the unit rate, divide the total pieces of candy by the total ounces: 75 pieces ÷ 15 oz = 5 pieces per ounce.

Front

Which of the following is NOT a unit rate: 1 minute, 3 feet, or 6 miles per hour?

Back

1 minute and 3 feet are not unit rates because they do not compare a quantity to one unit of another quantity.

Front

How do you determine which is the better buy between two products?

Back

To determine the better buy, calculate the unit price for each product and compare them. The product with the lower unit price is the better buy.

Front

What is the unit rate for 12 packs of Coke costing $3.50?

Back

To find the unit rate, divide the total cost by the number of packs: $3.50 ÷ 12 = approximately $0.29 per pack.

Front

If a 6 pack of Coke costs $1.80, what is the unit rate?

Back

To find the unit rate, divide the total cost by the number of packs: $1.80 ÷ 6 = $0.30 per pack.

Front

How can you express a rate in terms of 'per' something?

Back

A rate can be expressed in terms of 'per' by dividing the two quantities involved, such as miles per hour or dollars per item.

Front

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

Back

Unit rates help consumers make informed decisions by allowing them to compare prices, speeds, and other quantities on a consistent basis.