l.;r3r.rM
Write each rate as a unit rate.
1.
72 ounces in 6 steaks
:
(Examples 1 and 2)
tt.od/
11 slrab
r 2. 162 water bottles in 9 cases : rc UA*
/
fi'*
11""" @
i,T'..:,l;l
fiUarcella divided
40.8 gallons of paint
4. Central Subs made 27 sandwiches using
1 2 pounds of turkey. How much turkey was
used per sandwich? ir i'i!i,r!!i: "rl
among B containers. How much paint is in
each container?
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4
€,1 Aal
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lb, ot
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+ W Sandilih
5. The results of a car race are shown. Determine
who drove the fastest. Explain.
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Evans 42
Loza 38
96.6
102.6
6. Theo's mom bought an eight-pack of juice boxes at the store for 54. Find
the unit rateforthe juice boxes.
(Exampre+)
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bN
7. Joshua's cousin pledged S 1 2 for a charity walk. lf Joshua walked 3 miles,
how much did his cousin pay per mile? {[ranrpie ,ii
S * p+t m/ll8. ffi* Justify Conclusions
The Lovin'Lemon Company sells a 4-gallon jug
of lemonade for S24. The Sweet and Sour Company sells an eight-pack of
1 -quart bottles of lemonade for S 1 6.00. Which company has a higher unit
, SU,ttIf *W 6 r'
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4z esr q,)atr a{\pntl +o { t.sD ar Wn Urntvt b,
price? Explain your answe
€
fffte
g
Shanghai Maglev Train is one of the fastest trains in the world,
traveling about 2,144 miles in 8 hours.
a. How many miles does it travel in one
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hour? 7b( n:te*f I W'
b. The distance between Columbus, Ohio, and New York City is about
560 miles. How many hours would it take the train to travel between
I
theciries? 4ba/t
2 n%
Lesson
3 Rates 35
10.
W
Multiple Representations
The table shows the
approximate population and areas of five states.
State
Population density is the number of people per square
unit of an area.
a. Numbels
Population
Estimate
(as of July 2007)
Find the population density of each
lowa
2,990,000
New Jersey 8,690,000
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miles)
California 36,500,000 163,707
Florida 18,300,000 65,758
state. Round to the nearest tenth.
b.
Area
(square
",*r* r"**i,.,.
(. Words Connecticut has about the same population as
lowa, but its area is4,875 square miles. Without calculating,
compare Connecticut's population density to lowa's.
Justify your answer.
56,276
8,722
Feparlmti*n S**lsity
1000
800
600
400
200
-
0
,-a
l{.O.T. PrOblemS
1
1.
Higher order Thinking
Find the Error Julie wrote the rate S t Og in 6 weeks
unit rate. Find her mistake and correct it.
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12.
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ffi
Persevere ruith Problems The ratio of red jelly beans to yellow jelly
beans in a dish is 3:4. lf Greg eats 3 red jelly beans and 6 yellow ones, the
ratio is 4:5. How many yellow jelly beans were originally in the dish?
13. .,.$S rtustify Conclusions lf you travelat a rate of 45 miles per hour, how
many minutes will it take you to travel 1 mile? JustiflT your response.
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36
Chapter
I
Ratios and Rates
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My Hom*work
-
Write each rate as a unit rate.
14. Eavis printed 24 photos in 8 minutes. How
many photos did he Print Per minute?
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3
1
Z4pholos
8
ww
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1
_
I
jpholos
1
rnriqtr{-eS I r^.rihuie
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-/
I
44
I
l
16. Vinnie decorated 72 cookies in 36 minutes.
How many cookies did he decorate per
minute?
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1s. Carrie planted 48 tulips in 12 minutes. How
many tulips did she plant per minute?
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pholos qev r,rirr_trle
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hel?
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I
17. Alana biked 45 miles in 3 hours. How many
miles did she bike per hour?
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18. A RubyThroated Hummingbird beats its wings 159 times in 3 seconds.
How many times does the RubyThroated Hummingbird beat its winqs
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4
19. The Reyes family bought four concert tickets for 5252.What was the price
perticket?
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20. An adult blinks about 450 times in 30 minutes. R 't2-year-old blinks about
150 times in 15 minutes. How many more times does an adult blink in
60 minutes than a 12-year-otd
? 3 0D
blinfiS--
Mk
21. Find the number of meters each record holder ran in one second of
each event. Round to the nearest tenth.
a.
200 meters, 1 9.30 seconds, Usain Bolt, Jamaic
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*L,
--3:7-Wl9-c. 100 meters, 9.69 seconds, Usain Bolt, Jamaic, ---lgl-U/:-
b. 4oo meters,43.1B
22.
seconds, MichaelJohnson, USa
ffi$.Iuetlfy Concluelons The 24 students
in Mr. Brown's homeroom sold
T2magazine subscriptions.The 28 students in Mrs. Garcia's homeroom
sold 98 magazine subscriptions.Whose homeroom sold more magazine
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subscriptions per student? Explain your reasoning. -M6-r-
hounihunamnr-:uld
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Lesson 3 Rates
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23. Boxes of fruit snacks are on sale at the grocery. The boxes are the same size.
A family needs to
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Which snacks should they purchase if they want to spend a
IEI@!I?
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How much money will they save?
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24. A runner is training for a half marathon. Her training schedule is
shown in the table.
Graph and label the unit rates for each day on the number line.
Distanre
(mi)
Time
{min}
Tuesday
4
3B
Wednesday
6
72
Thursday
4
37
3
31 .5
Saturday
.l
Sunday
i
12
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Which day did she run the fastest?
Common Core Spiral Review
Simplify each fraction.
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26.
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2
5
1"'#:
6
2-fi
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28. Josephine wants to put a wallpaper border around the
ceiling of her room. The dimensions are shown at the
right. How many feet of border doel she need? s.ur.z
6.
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