1. 5-2 Rates, and Unit Rates Warm Up Problem of the Day
Course 3
Warm Up
Problem of the Day
Lesson Presentation

2. Vocabulary
rate
unit rate
unit price

3. A rate is a comparison of two quantities that have different units.90 3
Ratio:
Read as
“90 miles per 3 hours.”
90 miles
3 hours
Rate:

4. Unit rates are rates in which the second quantity is 1.
The ratio 90 3
can be simplified by dividing: 90 3 30 1 =
30 miles,
1 hour
unit rate:
or 30 mi/h

5. Additional Example 1: Finding Unit Rates
Fred can type 30 words in half a minute. How many words can he type in 1 minute?
30 words minute 1 2
Write a rate.
30 words • minute • 2 1 2
60 words 1 minute
Multiply to find words per minute. =
Fred can type 60 words in one minute.

6. Check It Out: Example 1
Penelope can type 90 words in 2 minutes. How many words can she type in 1 minute?
90 words 2 minutes
Write a rate.
90 words ÷ minutes ÷ 2
45 words 1 minute
Divide to find words per minute. =
Penelope can type 45 words in one minute.

7. Unit price is a unit rate used to compare price per item.

8. Additional Example 4A: Finding Unit Prices to Compare Costs
Pens can be purchased in a 5-pack for $1.95 or a 15-pack for $ Which is the better buy?
Divide the price by the number of pens.
price for package
number of pens
$1.95 5 = 
$0.39
price for package
number of pens
$6.20 15 = 
$0.41
The better buy is the 5-pack for $1.95.

9. Additional Example 4B: Finding Unit Prices to Compare Costs
Jamie can buy a 15-oz jar of peanut butter for $2.19 or a 20-oz jar for $ Which is the better buy?
Divide the price by the number of ounces.
price for jar
number of ounces
$2.19 15 = 
$0.15
price for jar
number of ounces
$2.78 20 = 
$0.14
The better buy is the 20-oz jar for $2.78.

10. Check It Out: Example 4A
Golf balls can be purchased in a 3-pack for $4.95 or a 12-pack for $ Which is the better buy?
Divide the price by the number of balls.
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.

11. Check It Out: Example 4B
John can buy a 24 oz bottle of ketchup for $2.19 or a 36 oz bottle for $ Which is the better buy?
Divide the price by the number of ounces.
price for bottle
number of ounces
$2.19 24 = 
$0.09
price for bottles
number of ounces
$3.79 36 = 
$0.11
The better buy is the 24-oz jar for $2.19.

12. Try These!
1. Jacob can buy a 32 oz bottle of BBQ sauce for $2.93 or a 36 oz bottle for $ Which is the better buy?
2. John can buy a 8 pencils for $1.25 or a 12 pencils for $ Which is the better buy?
3. Mary made $25.00 for working 7 hours at the mall. How much did Mary make per hour?
4. Lisa paid $ for 3 pair of jeans. What did Lisa pay for each pair of jeans?
5. Bob typed 593 words in 4 minutes. How many words did Bob type per minute?

13. Try These! Round to nearest hundredth
$2.93 / 32 = $0.09 (better buy)
$3.19 / 36 = $11.6
2. $1.25 / 8 = $0.16 (better buy)
$2.00 / 12 = $0.17
3. $25.00 / 7 hours = $3.57 / Hr
4. $ / 3 pair of jeans = $52.67 / jean
/ 4 minutes = words/minute