Rates, Unit Rates, Unit Cost/Comparison

Unit Rate/Unit Cost

​90 miles in 5 hours

A rate compares two quantities with different units.

Driving 120 miles in 2 hours

​

The units are miles & hours

​

​Examples: Miles per hour, cups per recipe, cost for one, dollars per hour

Multiple Choice

What is the unit cost for 7 candy bars for $5.25?

• 0.75

• 1.75

• 0.50

• 75

Multiple Choice

14 shirts for $375.20

We need to find the COST per SHIRT

• 0.37

• 2.68

• 26.80

• 28.60

A unit rate is a rate that is simplified so that it has a denominator of 1 unit.

Example: Driving 60 miles in 1 hour or

60 miles/1 hour

​REMEMBER:

Multiple Choice

You drove 440 miles in 8 hours. How many miles per hour did you drive?

• 65 mph

• 50 mph

• 55 mph

• 18 mph

Multiple Choice

You earn $117 for working 12 hours. How much do you earn per hour?

• 10.20

• 9.75

• 14.50

• 11.00

REMEMBER:

To get the unit rate, divide the numerator by the denominator.

​

Multiple Choice

Which is an example of a unit rate?

• 70 miles/2 hours

• 100 miles/3 hours

• 35 miles/1 hour

Multiple Choice

A car traveled 270 miles in 6 hours. (270 miles/6 hours). What was the unit rate?

• 35 mph

• 45 mph

• 55 mph

• 22 mph

Multiple Choice

Mary can type 225 words in 3 minutes. What is the unit rate in words per minute?

• 60

• 75

• 133

• 85

An 8-pack of Gatorade costs $8.96. How much does ONE bottle cost?

Cost per bottle

Remember: $ goes in the calculator first!​

8.96 ÷ 8 = 1.12

So the unit cost is $1.12/1 bottle

Sometimes you will have to ROUND TO THE NEAREST CENT! (hundredth)

​

12 pencils cost $3.86​. What is the

unit cost?

Sometimes you will have to ROUND TO THE NEAREST CENT! (hundredth)

​ 12 pencils cost $3.86​. What is the

unit cost?

3.86 ÷ ​12 = 0.321666...

Sometimes you will have to ROUND TO THE NEAREST CENT! (hundredth)

​ 12 pencils cost $3.86​. What is the

unit cost?

3.86 ÷ ​12 = 0.321666...

​that rounds to 0.32 or 32 cents per pencil

Multiple Choice

6 pounds of Fancy French Fig cookies cost $12.85. What is the price per pound?

• 0.47

• 4.67

• 2.14

• 2.16

Unit Cost is important when you want to buy the better deal.

The LEAST unit cost is the BETTER BUY!!!!!!​

​

​

​When finding the BETTER BUY, you need to COMPARE the unit costs...

​

​Product #1: Unit cost = 1.74

​Product #2: Unit cost = 1.68

​Product #2 is the better buy!

​Product #2: Unit cost = 1.68

Multiple Choice

Which is the better buy?

• 6 eggs for $4.20

• 12 eggs for $8.10

Multiple Choice

Which is the better buy?

• Trix 14 oz for $2.89

• Coco Puffs 40.7 oz for $7.32

Multiple Choice

Which is the better buy?

• Energizer 4 pack for $2.97

• Duracell 10 pack for $12.39

Multiple Choice

Which is the better buy?

• Heinz 13 ounces for $1.49

• Frenches 30 ounces for $2.99

Multiple Choice

Which is the better buy?

• Tropicana 96 oz for $3.29

• Minute Maid 64 oz for $2.99

Multiple Choice

Which is the better buy?

• Campbells Chicken Noodle Soup 10 oz can for $1.27

• Progresso Chicken Noodle Soup 16 oz can for $2.59

Multiple Choice

Which is the better buy?

• 1 box for $0.92

• 3 boxes for $2.69

Multiple Choice

Which is the better buy?

• Clorox 64 oz for $1.59

• Lysol 121 oz for $3.98

Multiple Choice

Which is the better buy?

• Dawn 75 oz for $7.79

• Ajax 14 oz for 0.99

Multiple Choice

Which is the better buy?

• Trix 14 oz for $2.89

• Coco Puffs 40.7 oz for $7.32

Multiple Choice

Which is the better buy?

• Burts Bee's 3 oz for $2.59

• Dove 8 oz for $4.69

Multiple Choice

Which is the better buy?

• Coke 8 oz for $0.99

• Coke 12 oz for $1.39

Multiple Choice

Which is the better buy?

• Lysol 32 oz for $5.65

• Fantastik 28 oz for $3.82

Multiple Choice

Which is the better buy?

• Heinz 24 oz for $4.79

• Frenches 14 oz for $2.59