1. A2. B3. C4. D

0% 0%0%0%

A. 10:34

B. 17:5

C. 5:17

D. 34:10

Among the staff at Roosevelt Elementary, 68 teachers prefer coffee and 20 prefer tea. Which ratio shows the relationship of coffee drinkers to tea drinkers in simplest form?

(over Lesson 6-1)

Main Idea and VocabularyExample 1:Find Unit RatesExample 2:Find Unit RatesExample 3:Test Example: Compare Using Unit RatesExample 4:Real-World Example: Use a Unit Rate

• Rate – ratio that compares 2 quantities with different kind of units.

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

• Determine units rates (2.1.8D) (M7.A.2.2).

Find Unit Rates

READING Julia read 52 pages in 2 hours. What is the average number of pages she read per hour?Write the rate as a fraction. Then find an equivalent rate with a denominator of 1.

Write the rate as a fraction.

Divide the numerator and denominator by 2.

Simplify.

Find Unit Rates

Answer: The average number of pages Julia read, or unit rate, is 26 pages per hour.

1. A2. B3. C4. D0% 0%0%0%

A. 4 laps per minute

B. 12 laps per minute

C. 20 laps per minute

D. 64 laps per minute

SWIMMING Natalie swam 16 laps in 4 minutes. What is the average number of laps she swam per minute?

Find Unit Rates

SODA Find the unit price per can if it costs $3 for6 cans of soda. Round to the nearest hundredth if necessary.

Answer: The unit price is $0.50 per can.

Write the rate as a fraction.

Divide the numerator and the denominator by 6.

Simplify.

1. A2. B3. C4. D0% 0%0%0%

COOKIES Find the unit price per cookie if it costs $3 for 12 cookies.A. $0.18 per cookie

B. $0.21 per cookie

C. $0.25 per cookie

D. $3.60 per cookie

The costs of 4 different sizes of orange juice are shown in the table. Which container costs the least per ounce?A 96-oz containerB 64-oz containerC 32-oz containerD 16-oz container

Read the ItemFind the unit price, or the cost per ounce, of each size of orange juice. Divide the price by the number of ounces.

Compare Using Unit Rates

Solve the Item

The 96-ounce container of orange juice costs the least per ounce.

16-ounce container $1.28 ÷ 16 ounces

=

$0.08 per ounce32-ounce container $1.92 ÷ 32 ounces

=

$0.06 per ounce64-ounce container $2.56 ÷ 64 ounces

=

$0.04 per ounce96-ounce container $3.36 ÷ 96 ounces

=

$0.035 per

ounce

Compare Using Unit Rates

Answer: A

1. A2. B3. C4. D

0% 0%0%0%

The costs of different sizes of bottles of laundry detergent are shown below. Which bottle costs the least per ounce?

A. 96-oz container

B. 64-oz container

C. 32-oz container

D. 16-oz container

POTATOES An assistant cook peeled 18 potatoes in 6 minutes. At this rate, how many potatoes can he peel in 50 minutes? Find the unit rate.

Answer: The assistant cook can peel 150 potatoes in 50 minutes.

Use a Unit Rate

Then multiply this unit rate by 50 to find the number of potatoes he can peel in 50 minutes.

1. A2. B3. C4. D0% 0%0%0%

A. 21 beads

B. 63 beads

C. 120 beads

D. 180 beads

Sarah can paint 21 beads in 7 minutes. At this rate, how many beads can she paint in one hour?

1. A2. B3. C4. D

Find each unit rate. Round to the nearest hundredth if necessary.

1. $300 for 6 hours

2. 220 miles on 8 gallons

3. 90 miles on 15 gallons

4. 1,680 kilobytes in 4 minutes

5. 5 pounds for $2.49

6. 152 feet in 16 seconds

$50 per hour

27.5 miles per gallon

6 miles per gallon

420 kb per minute

$.50 per pound

9.5 feet per second

End of the Lesson

Five-Minute Check (over Lesson 6–1)

Image Bank

Math Tools

Scale Drawings

Using Proportions