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7-2

Ratios, Rates, and Unit Rates

Lesson Presentation

Pre-Algebra

A. Order the ratios 43, 2310, 139, and 4720

from the least to greatest.

43

2.3

2310

2.35

139

4720

The ratios in order from least to greatest are

43, 139, 2310, and 4720.

B. A television has screen width 20 in. and

height 15 in. What is the aspect ratio of this

screen?

The ratio of the width to the height is 2015.

The screen has the aspect ratio 43.

A ratio is a comparison of two quantities.

A rate is a comparison of two quantities that

have different units.

Read as 90 miles per 3 hours.

90 3

90 miles 3 hours

Ratio

Rate

Unit rates are rates in which the second quantity

is 1.

30 miles, 1 hour

Unit rate

or 30 mi/h

Additional Example 2 Using a Bar Graph to

Determine Rates

Use the bar graph to find the number of acres, to

the nearest acre, destroyed in Nevada and Alaska

per week.

640,000 acres 52 weeks

Nevada

12,308 acres 1 week

?

Additional Example 2 Continued

Use the bar graph to find the number of acres, to

the nearest acre, destroyed in Nevada and Alaska

per week.

750,000 acres 52 weeks

Alaska

14,423 acres 1 week

?

Try This Example 2

Use the bar graph to find the number of acres, to

the nearest acre, destroyed in Montana and Idaho

per week.

950,000 acres 52 weeks

Montana

18,269 acres 1 week

?

Try This Example 2 Continued

Use the bar graph to find the number of acres, to

the nearest acre, destroyed in Montana and Idaho

per week.

1,400,000 acres 52 weeks

Idaho

26,923 acres 1 week

?

Unit price is a unit rate used to compare costs

per item.

Pens can be purchased in a 5-pack for 1.95 or a

15-pack for 6.20. Which is the better buy?

price for package number of pens

1.95 5

0.39

?

6.20 15

price for package number of pens

0.41

?

The better buy is the 5-pack for 1.95.

Golf balls can be purchased in a 3-pack for 4.95

or a 12-pack for 18.95. Which is the better buy?

price for package number of balls

4.95 3

1.65

?

price for package number of balls

18.95 12

?

1.58

The better buy is the 12-pack for 18.95.

Lesson Quiz

1. At a family golf outing, a father drove the

ball 285 ft. His daughter drove the ball 95 ft.

Express the ratio of the fathers distance to his

daughters in simplest terms. 2. Find the unit

price of 6 stamps for 2.22. 3. Find the unit

rate of 8 heartbeats in 6 seconds. 4. What is the

better buy, a half dozen carnations for 4.75 or

a dozen for 9.24? 5. Which is the better buy,

four pens for 5.16 or a ten-pack for 12.90?

31

0.37 per stamp

? 1.3 beats/s

a dozen

They cost the same.

Homework

- Pg 348
- 1 16 all, 20, 21, 31

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