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ame ____________________________________ Date __________________
Mrs. Labuski / Mrs. Portsmore Period __________ Unit 7 Lesson 5 Rates
                                                TB 8-1 / OC 5-3
VOCABULARY                       DEFINITION                 EXAMPLE

      RATE



  UNIT RATE



Suppose a bus travels 150 miles in 3 hours. The rate could be written as_________

When the second term of a rate is 1 unit, the rate is a ____________________.

To write             as a unit rate, divide each term by 3.

                     150 miles ÷ 3 hours = miles          The unit rate is
                      3 hours ÷ 3 hours = hour

Calculating Unit Rates
1. Maria pays $60 for 5 music lessons. What is the cost per lesson?




             Maria’s music lessons cost $ _________ per lesson.

2. The cost of 3 candles is $19.50. What is the unit price?




             The unit price is $_________ per candle.
3. Michael walks 30 meters in 20 seconds. How many meters does Michael walk per second?




            Michael walks_________ meters per second

4. A bakery charges $7 for ½dozen muffins. What is the price per dozen?




            The muffins cost $_________ per dozen.

5. There are 156 players on 13 teams. How many players are on each team?




                        _____players per team

6. A package of 36 photographs costs $18. What is the cost per photograph?




                        $ _____ per photograph
Use Unit Rates to Compare Prices

Mrs. Labuski is at the grocery store comparing two brands of laundry detergent. Super Suds
costs $7.68 for a 32-ounce bottle. Cozy Clean costs $9.00 for a 50-ounce bottle.To compare the
costs, Mrs. Labuski must compare prices for equal amounts of detergent. How can she do this?
                      Super Suds                               Cozy Clean
                Ounces       Price ($)                   Ounces       Price ($)
                   32          7.68                         50            9

                   16           3.84                        25
                    8                                       5
                    4                                       1
                    2
                    1



Super Suds costs $__________ per ounce. Cozy Clean costs $__________ per ounce.
Which brand is the better buy? Why?_______________________________________________

_____________________________________________________________________________



Problem-Solving with Unit Rates
In a youth soccer league, each team will have 18 players and 3 coaches. This year, 162 players
signed up to play soccer. How many coaches are needed?

Method 1: Find the unit rate. How many players per coach?




            There are _________ players per coach.
Method 2: Use equivalent ratios.




The soccer league needs _____ coaches.



Tim can mow 4 lawns in 6 hours. How many lawns can he mow in 15 hours?

Find the unit rate.




How can you use the unit rate to find how many lawns Tim can mow in 15 hours?___________

_____________________________________________________________________________


             Tim can mow ________ lawns in 15 hours.


Try this:
On Tuesday, Donovan earned $9 for 2 hours of babysitting. On Saturday, he babysat for the
same family and earned $31.50. How many hours did he babysit on Saturday?




Name ____________________________________                     Date __________________
Mrs. Labuski / Mrs. Portsmore Period __________           Unit 7 Lesson 5 Rates
                                                          TB 8-1 / OC 5-3
VOCABULARY                         DEFINITION                        EXAMPLE
                       A comparison of two quantities that have
      RATE
                             different unitsof measure.

  UNIT RATE               When the comparison is to one unit.


Suppose a bus travels 150 miles in 3 hours. The rate could be written as

When the second term of a rate is 1 unit, the rate is a unit rate.

To write             as a unit rate, divide each term by 3.

                     150 miles ÷ 3 hours = 50 miles
                      3 hours ÷ 3 hours = 1 hour          The unit rate is

Calculating Unit Rates
1. Maria pays $60 for 5 music lessons. What is the cost per lesson?




             Maria’s music lessons cost $12per lesson.

2. The cost of 3 candles is $19.50. What is the unit price?




             The unit price is $6.50per candle.

3. Michael walks 30 meters in 20 seconds. How many meters does Michael walk per second?




             Michael walks1.5meters per second
4. A bakery charges $7 for ½dozen muffins. What is the price per dozen?




            The muffins cost $14per dozen.

5. There are 156 players on 13 teams. How many players are on each team?

             156players÷ 13 = 12 players
             13 teams ÷ 13     1 team
                        12 players per team

6. A package of 36 photographs costs $18. What is the cost per photograph?

                 $18        ÷ 36 = $0.50
             36 photographs ÷ 36 1 photograph
                        $ 0.50 per photograph
Use Unit Rates to Compare Prices


Mrs. Labuski is at the grocery store comparing two brands of laundry detergent. Super Suds
costs $7.68 for a 32-ounce bottle. Cozy Clean costs $9.00 for a 50-ounce bottle.To compare the
costs, Mrs. Labuski must compare prices for equal amounts of detergent. How can she do this?
                      Super Suds                               Cozy Clean
                Ounces       Price ($)                   Ounces       Price ($)
                   32          7.68                         50            9

                   16           3.84                        25          4.50
                    8           1.92                        5           0.90
                    4           0.96                        1           0.18
                    2           0.48
                    1           0.24



Super Suds costs $0.24per ounce. Cozy Clean costs $0.18per ounce.

Which brand is the better buy? Why?_Cozy Clean is the better buy because it costs less per
ounce.



Problem-Solving with Unit Rates
In a youth soccer league, each team will have 18 players and 3 coaches. This year, 162 players
signed up to play soccer. How many coaches are needed?

Method 1: Find the unit rate. How many players per coach?




Method 2: Use equivalent ratios.
The soccer league needs27coaches.



Tim can mow 4 lawns in 6 hours. How many lawns can he mow in 15 hours?

Find the unit rate.




How can you use the unit rate to find how many lawns Tim can mow in 15 hours?___________
Multiply by 15

             Tim can mow 10lawns in 15 hours.


Try this:
On Tuesday, Donovan earned $9 for 2 hours of babysitting. On Saturday, he babysat for the
same family and earned $31.50. How many hours did he babysit on Saturday?

$9 = $31.50
2 hours   ? hours


$9x3 =$31.50
2 hours x3 7 hours

Donovan babysat for 7 hours on Saturday.

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Unit 7 lesson 5 rates unit rates

  • 1. ame ____________________________________ Date __________________ Mrs. Labuski / Mrs. Portsmore Period __________ Unit 7 Lesson 5 Rates TB 8-1 / OC 5-3 VOCABULARY DEFINITION EXAMPLE RATE UNIT RATE Suppose a bus travels 150 miles in 3 hours. The rate could be written as_________ When the second term of a rate is 1 unit, the rate is a ____________________. To write as a unit rate, divide each term by 3. 150 miles ÷ 3 hours = miles The unit rate is 3 hours ÷ 3 hours = hour Calculating Unit Rates 1. Maria pays $60 for 5 music lessons. What is the cost per lesson? Maria’s music lessons cost $ _________ per lesson. 2. The cost of 3 candles is $19.50. What is the unit price? The unit price is $_________ per candle.
  • 2. 3. Michael walks 30 meters in 20 seconds. How many meters does Michael walk per second? Michael walks_________ meters per second 4. A bakery charges $7 for ½dozen muffins. What is the price per dozen? The muffins cost $_________ per dozen. 5. There are 156 players on 13 teams. How many players are on each team? _____players per team 6. A package of 36 photographs costs $18. What is the cost per photograph? $ _____ per photograph
  • 3. Use Unit Rates to Compare Prices Mrs. Labuski is at the grocery store comparing two brands of laundry detergent. Super Suds costs $7.68 for a 32-ounce bottle. Cozy Clean costs $9.00 for a 50-ounce bottle.To compare the costs, Mrs. Labuski must compare prices for equal amounts of detergent. How can she do this? Super Suds Cozy Clean Ounces Price ($) Ounces Price ($) 32 7.68 50 9 16 3.84 25 8 5 4 1 2 1 Super Suds costs $__________ per ounce. Cozy Clean costs $__________ per ounce. Which brand is the better buy? Why?_______________________________________________ _____________________________________________________________________________ Problem-Solving with Unit Rates In a youth soccer league, each team will have 18 players and 3 coaches. This year, 162 players signed up to play soccer. How many coaches are needed? Method 1: Find the unit rate. How many players per coach? There are _________ players per coach.
  • 4. Method 2: Use equivalent ratios. The soccer league needs _____ coaches. Tim can mow 4 lawns in 6 hours. How many lawns can he mow in 15 hours? Find the unit rate. How can you use the unit rate to find how many lawns Tim can mow in 15 hours?___________ _____________________________________________________________________________ Tim can mow ________ lawns in 15 hours. Try this: On Tuesday, Donovan earned $9 for 2 hours of babysitting. On Saturday, he babysat for the same family and earned $31.50. How many hours did he babysit on Saturday? Name ____________________________________ Date __________________
  • 5. Mrs. Labuski / Mrs. Portsmore Period __________ Unit 7 Lesson 5 Rates TB 8-1 / OC 5-3 VOCABULARY DEFINITION EXAMPLE A comparison of two quantities that have RATE different unitsof measure. UNIT RATE When the comparison is to one unit. Suppose a bus travels 150 miles in 3 hours. The rate could be written as When the second term of a rate is 1 unit, the rate is a unit rate. To write as a unit rate, divide each term by 3. 150 miles ÷ 3 hours = 50 miles 3 hours ÷ 3 hours = 1 hour The unit rate is Calculating Unit Rates 1. Maria pays $60 for 5 music lessons. What is the cost per lesson? Maria’s music lessons cost $12per lesson. 2. The cost of 3 candles is $19.50. What is the unit price? The unit price is $6.50per candle. 3. Michael walks 30 meters in 20 seconds. How many meters does Michael walk per second? Michael walks1.5meters per second
  • 6. 4. A bakery charges $7 for ½dozen muffins. What is the price per dozen? The muffins cost $14per dozen. 5. There are 156 players on 13 teams. How many players are on each team? 156players÷ 13 = 12 players 13 teams ÷ 13 1 team 12 players per team 6. A package of 36 photographs costs $18. What is the cost per photograph? $18 ÷ 36 = $0.50 36 photographs ÷ 36 1 photograph $ 0.50 per photograph
  • 7. Use Unit Rates to Compare Prices Mrs. Labuski is at the grocery store comparing two brands of laundry detergent. Super Suds costs $7.68 for a 32-ounce bottle. Cozy Clean costs $9.00 for a 50-ounce bottle.To compare the costs, Mrs. Labuski must compare prices for equal amounts of detergent. How can she do this? Super Suds Cozy Clean Ounces Price ($) Ounces Price ($) 32 7.68 50 9 16 3.84 25 4.50 8 1.92 5 0.90 4 0.96 1 0.18 2 0.48 1 0.24 Super Suds costs $0.24per ounce. Cozy Clean costs $0.18per ounce. Which brand is the better buy? Why?_Cozy Clean is the better buy because it costs less per ounce. Problem-Solving with Unit Rates In a youth soccer league, each team will have 18 players and 3 coaches. This year, 162 players signed up to play soccer. How many coaches are needed? Method 1: Find the unit rate. How many players per coach? Method 2: Use equivalent ratios.
  • 8. The soccer league needs27coaches. Tim can mow 4 lawns in 6 hours. How many lawns can he mow in 15 hours? Find the unit rate. How can you use the unit rate to find how many lawns Tim can mow in 15 hours?___________ Multiply by 15 Tim can mow 10lawns in 15 hours. Try this: On Tuesday, Donovan earned $9 for 2 hours of babysitting. On Saturday, he babysat for the same family and earned $31.50. How many hours did he babysit on Saturday? $9 = $31.50 2 hours ? hours $9x3 =$31.50 2 hours x3 7 hours Donovan babysat for 7 hours on Saturday.