Unit Rate & Proportions

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 a car travels 300 miles in 5 hours, the unit rate is 60 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 120 customers in 6 hours, divide 120 by 6 to find the unit rate of 20 customers per hour.

Front

If a machine packs 70 boxes in 5 minutes, how many boxes does it pack in 1 minute?

Back

To find the number of boxes packed in 1 minute, divide 70 by 5. The machine packs 14 boxes per minute.

Front

What is the formula for finding the unit price?

Back

The unit price can be found using the formula: Unit Price = Total Price / Quantity. For example, if 5 pounds of concrete cost $40, the unit price is $40 / 5 = $8 per pound.

Front

If Harry mowed 8 lawns for $96, how much did he earn per lawn?

Back

To find the earnings per lawn, divide the total earnings by the number of lawns: $96 / 8 = $12 per lawn.

Front

How do you find the total amount based on a unit rate?

Back

To find the total amount based on a unit rate, multiply the unit rate by the number of units. For example, if the unit rate is $8 per pound and you buy 5 pounds, the total cost is $8 * 5 = $40.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are in proportion.

Front

How can you check if two ratios form a proportion?

Back

To check if two ratios form a proportion, cross-multiply and see if the products are equal. For example, for the ratios 1/2 and 2/4, cross-multiplying gives 1*4 and 2*2, both equal to 4.

Front

What is the relationship between unit rates and proportions?

Back

Unit rates can be used to create proportions. If you know the unit rate of one quantity, you can set up a proportion to find unknown quantities.

Front

If Antonia types 408 words in 4 minutes, how many words does she type in 1 minute?

Back

To find the words typed in 1 minute, divide 408 by 4. Antonia types 102 words per minute.