6-2 Unit Rates
Express each rate as a unit rate. Round to the nearest tenth, if necessary.
$120 for 5 days of work
The unit rate is $24 per day.
$24 per day
275 miles on 14 gallons
The unit rate is 19.6 miles per gallon.
19.6 miles per gallon
338 points in 16 games
The unit rate is 21.1 points per game.
21.1 points per game
$19.49 for 6 pounds
The unit rate is $3.25 per pound.
$3.25 per pound
17 gallons in 4 minutes
The unit rate is 4.3 gallons per minute.
4.3 gallons per minute
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180 feet in 19 seconds
Page 1
The unit rate is $3.25 per pound.
6-2 Unit Rates
$3.25 per pound
17 gallons in 4 minutes
The unit rate is 4.3 gallons per minute.
4.3 gallons per minute
180 feet in 19 seconds
The unit rate is 9.5 feet per second.
9.5 feet per second
PEANUTS Jamal is comparing prices of several brands of peanuts. Which brand is the best buy? Explain.
Barrel:
The unit rate is $0.34 per ounce.
Mr. Nut:
The unit rate is $0.32 per ounce.
Chip s:
The unit rate is $0.35 per ounce.
Mr. Nut is the best buy because the unit rate is lowest.
Page 2
Mr. Nut; Sample Answer: Barrel costs $0.34 per ounce, Mr. Nut costs $0.32 per ounce, and Chip s cost $0.35 per
ounce.
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The unit rate is 9.5 feet per second.
6-2 Unit Rates
9.5 feet per second
PEANUTS Jamal is comparing prices of several brands of peanuts. Which brand is the best buy? Explain.
Barrel:
The unit rate is $0.34 per ounce.
Mr. Nut:
The unit rate is $0.32 per ounce.
Chip s:
The unit rate is $0.35 per ounce.
Mr. Nut is the best buy because the unit rate is lowest.
Mr. Nut; Sample Answer: Barrel costs $0.34 per ounce, Mr. Nut costs $0.32 per ounce, and Chip s cost $0.35 per
ounce.
DRIVING Aisha drove 170 miles in 2.5 hours. At this same rate, how far will she drive in 4 hours?
Aisha will drive 272 miles in 4 hours.
272 miles
Express each rate as a unit rate. Round to the nearest tenth, if necessary.
156 students in 6 classes
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The unit rate is 26 students per class.
Page 3
Aisha will drive 272 miles in 4 hours.
6-2 Unit Rates
272 miles
Express each rate as a unit rate. Round to the nearest tenth, if necessary.
156 students in 6 classes
The unit rate is 26 students per class.
26 students per class
424 Calories in 3 servings
The unit rate is 141.3 Calories per serving.
141.3 Calories per serving
147.5 miles in 2.5 hours
The unit rate is 59 miles per hour.
59 miles per hour
$29.95 for 4 DVDs
The unit rate is $7.49 per DVD.
$7.49 per DVD
$231 for 3 game tickets
The unit rate is $77 per ticket.
$77 per ticket
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5 tablespoons
in 4 quarts
Page 4
The unit rate is $77 per ticket.
6-2 Unit Rates
$77 per ticket
5 tablespoons in 4 quarts
The unit rate is 1.3 tablespoons per quart.
1.3 tablespoons per quart
$97.50 for 15 pizzas
The unit rate is $6.50 per pizza.
1 pizza for $6.50
400 meters in 58 seconds
The unit rate is 6.9 meters per second.
6.9 meters per second
PARTIES The Party Planner sells 10 paper plates for $2.50. Use the table below to determine which company sells
paper plates for the same price per plate.
The unit rate for Party Planner is $0.25 per plate.
Store
Party Time
Good Times
Birthday,
Inc. by Cognero
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Rate
Unit Rate
$0.25 per
plate
$0.30 per
plate
$0.30 per pate
Page 5
The unit rate is 6.9 meters per second.
6-2 Unit Rates
6.9 meters per second
PARTIES The Party Planner sells 10 paper plates for $2.50. Use the table below to determine which company sells
paper plates for the same price per plate.
The unit rate for Party Planner is $0.25 per plate.
Store
Party Time
Rate
Unit Rate
$0.25 per
plate
Good Times
$0.30 per
plate
Birthday, Inc.
$0.30 per pate
Party Time sells paper plates for the same price per plate as Party Planner.
Party Time
ARCHITECTURE Building A has 7500 square feet of office space for 320 employees. Building B has 9500
square feet of office space for 370 employees. Which building has more square feet of space per employee?
Building A:
Building B:
Building B has more square feet of space per employee.
2
2
Building B; Sample Answer: Building A has 23.44 ft of office space per person and Building B has 25.68 ft of
space per person.
PRODUCE A farmers market sells ears of sweet corn. At this same rate, how much will it cost to buy 28 ears of
sweet corn?
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Building B has more square feet of space per employee.
2
B; Sample Answer: Building A has 23.44 ft
6-2 Building
Unit Rates
2
of office space per person and Building B has 25.68 ft of
space per person.
PRODUCE A farmers market sells ears of sweet corn. At this same rate, how much will it cost to buy 28 ears of
sweet corn?
It will cost $12.25 to buy 28 ears of sweet corn.
$12.25
RECIPES A recipe that makes 2 dozen cookies calls for
cup sugar. How much sugar is needed to make
dozen cookies?
or
cups of sugar is needed.
c
SWIMMING Which swimmer shown in the table has the fastest rate?
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Swimmer
Rate
Jenny
Dana
Kaitlin
6-2 Unitc Rates
SWIMMING Which swimmer shown in the table has the fastest rate?
Swimmer
Rate
Jenny
Dana
Kaitlin
Unit Rate 2.0 meters per second 0.84 meters per second 0.81 meters per second
Jenny has the fastest swimming rate.
Jenny
Express each ratio as a fraction in simplest form.
155 apples to 75 oranges
7 cups to 9 pints
Convert 9 pints to cups. There are 2 cups in 1 pint.
11 gallons to 11 quarts
Convert 11 gallons to quarts. There are 4 quarts in 1 gallon.
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6-2 Unit Rates
11 gallons to 11 quarts
Convert 11 gallons to quarts. There are 4 quarts in 1 gallon.
900 pounds to 16 tons
Convert 16 tons to pounds. There are 2000 pounds in 1 ton.
WEB SITES A company pays Dante to advertise on his web site. The web site earns $10 per month plus $0.05
each time a visitor to the site clicks on the advertisement. What is the least number of clicks he needs to make $45
per month or more from this advertiser?
Let x = number of clicks
Dante needs at least 700 clicks.
700 clicks
SUBMARINES The research submarine Alvin, used to locate the wreck of the Titanic, descended at a rate of
about 100 feet per minute. Write an integer to represent the distance Alvin traveled in 5 minutes.
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Dante needs at least 700 clicks.
6-2 Unit Rates
700 clicks
SUBMARINES The research submarine Alvin, used to locate the wreck of the Titanic, descended at a rate of
about 100 feet per minute. Write an integer to represent the distance Alvin traveled in 5 minutes.
500 ft
Evaluate a
b + c if a = 5, b = 7, and c = 10.
8
Complete.
36 in. = _ ft
There are 12 inches in 1 foot. Write a ratio comparing inches to feet.
3
4 yd = _ in.
One yard is the same as 36 inches. Write a ratio comparing yards to inches.
144
_ fl oz = 6 c
There are 8 fl ounces in 1 cup. Write a ratio comparing fl ounces to cups.
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6-2 Unit Rates
144
_ fl oz = 6 c
There are 8 fl ounces in 1 cup. Write a ratio comparing fl ounces to cups.
48
_ m = 4 cm
One centimeter is the same as 0.01 meter. Write a ratio comparing centimeters to meters.
0.04
476 mL = _ L
One milliliter is the same as 0.001 liter. Write a ratio comparing milliliters to liters.
0.476
3.5 km = _ m
There are 1000 meters in 1 kilometer. Write a ratio comparing meters to kilometers.
3500
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