1. Rates and Unit rates

2. Rate
A rate is a ratio that compares quantities measured in different units.
Examples:
MPH (miles per hour)
$/LB (dollars per pound)
A unit rate is the rate for one unit of a given quantity.
When a unit rate is written as a fraction, the denominator is one unit.
The / in a unit rate is read as “per”.

3. Rate
If a car travels 120 miles on 4 gallons of gasoline, then the rate is
The unit rate is or 30 miles per gallon.
120 miles
________
4 gallons
_______
30 miles
1 gallon

4. An airplane on autopilot took 8 hours to travel 5,616 kilometers
An airplane on autopilot took 8 hours to travel 5,616 kilometers. What is the unit rate for kilometers per hour?
________
kilometers
hour

5. A contractor purchases 3 dozen pairs of padded work gloves for $40. 68
A contractor purchases 3 dozen pairs of padded work gloves for $ He incorrectly calculates the unit price as $13.56 per pair for the expense report. What is the correct unit price? What is the error?
$1.13 per pair.
The contractor found the price per dozen, not price per glove. There are 36 total gloves.

6. rate
A lobster molts, or sheds its shell, 20 times over a period of 5 years. How many times per year does the lobster molt?

7. A unit price is a unit rate that gives the price of one item, or the price per item.

8. Unit Price Unit price for pack of 15 is $3.15 per t-shirt.
Your class is tie-dying T-shirts to sell for a fundraiser. You are in charge of buying the plain T-shirts. Which package is the best buy? Which package is the worst buy?
Unit price for pack of 15 is $3.15 per t-shirt.
Unit price for pack of 12 is $3.25 per t-shirt.
Unit price for pack of 8 is $3.40 per t-shirt.
Unit price for pack of 10 is $2.99 per t-shirt.
BEST BUY—10 for $29.90
WORST BUY—8 for $27.20

9. Unit Price 2 fl oz is $1.98 per ounce 4 fl oz is $2.09 per ounce
You also need to buy dye for the tie-dying activity. You can buy the dye in various sizes. Which is the best buy?
2 fl oz for $3.96
4 fl oz for $8.36
8 fl oz for $14.24
16 fl oz for $28.96
2 fl oz is $1.98 per ounce
4 fl oz is $2.09 per ounce
8 fl oz is $1.78 per ounce
16 fl oz is $1.81 per ounce
The 8 fl oz bottle is the best buy.

10. Word problems
A water pump moves 330 gallons of water in 22 minutes. How many gallons of water does the pump move in 39 minutes?
585 gallons in 39 minutes
A satellite travels about 2,272 miles in 8 minutes. About how many miles does the satellite travel in 3 minutes?
852 miles in 3 minutes

11. homework
Rates and Unit Rates Worksheet