Unit 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 quantity of one. For example, if you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the quantity of another item. For example, if you have 22 newspapers in 2 piles, the unit rate is 22 ÷ 2 = 11 newspapers per pile.

Front

If a painter uses 1 1/2 gallons of paint for 3/4 of a room, how do you find the amount needed for the whole room?

Back

To find the total amount needed, set up a proportion: (1.5 gallons) / (3/4 room) = x gallons / (1 room). Solve for x to find that it takes 2 gallons to paint the whole room.

Front

What is the unit price?

Back

The unit price is the cost per single unit of a product, allowing for easy comparison between different products. For example, if Sargento cheese slices cost $2.48 for 10 slices, the unit price is $2.48 ÷ 10 = $0.248 per slice.

Front

How do you compare unit prices?

Back

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

Front

If Mrs. Weems runs 0.125 miles per minute, how do you find her speed in miles per hour?

Back

To convert miles per minute to miles per hour, multiply by 60. So, 0.125 miles/minute × 60 minutes/hour = 7.5 miles/hour.

Front

What is the formula for finding the unit rate in a word problem?

Back

The formula is: Unit Rate = Total Quantity / Number of Units. This helps to find the rate per single unit.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 1 1/2 = (1*2 + 1)/2 = 3/2.

Front

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

Back

Unit rates help consumers make informed decisions by comparing prices, speeds, and other rates, allowing for better budgeting and resource management.

Front

How do you find the unit price of Butterball Turkey priced at $11.16 for 2 lbs?

Back

To find the unit price, divide the total price by the total weight: $11.16 ÷ 2 lbs = $5.58 per lb.