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My Hom*w*rit
Extra Practice
The table shows the total number of miles Ariel runs for several days.
The table also lists this information as ordered pairs (number of days,
totalmiles).
11. Graph the ordered pairs.
Ariel's Running Record
Days,x
15
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3
(1,3)
2
6
(2,6)
3
9
(3, e)
4
12
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a
12
t,l
Miles,
(4,12)
Dayl
12. Describe the pattern in the graph.
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i.
There are two employees for every tiger in the tiger exhibit at a local zoo. For
every elephant in the elephant exhibit, there are four employees.
13. Make a table for each animal that shows the total number of
employees for 1 ,2,3, or 4 animals. List the information as
ordered pairs (number of animals, number of employees).
Tiger Exhibit
Elephant Exhibit
Animals,x Employees,y {x,yl
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z
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t?
r
+
Animals,x Employees,y (x,y)
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14. Graph the ordered pairs for each exhibit on the same
coordinate plane.
15.
m
Justify Gonclusions
Using the tables and graphs, write a
few sentences comparing the ratios of the number of employees
per animal. How is this shown on the graph?
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Number of Animals
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fesson
5
Graph RatioTables
53
16. The table gives the ratio of teachers to students at Jefferson
Middle School.
Students,x Teachers,y
At Hamilton Middle School, the ratio of teachers to students is
12to312.Which statement corretly compares the ratio of the
teachers to students at the two schools?
ffi there are more students per teacher at Hamilton Middle School
24
482
than at Jefferson Middle School.
1
72
3
96
4
flI aoth schools have an equivalent ratio of students to teachers.
ffi There are more students at Hamilton Middle Schoolthan at
Jefferson Middle School.
$J There are more students per teacher at Jefferson Middle School
than at Hamilton Middle School.
vd
17. Nina earns $15 for each yard she mows. She wants to buy a dress that
costs 5109. How many yards will she need to mow to earn the m#ey
for the dress? Explain.
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Spiral Review
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21. There are 270 sixth grade students and 45 chaperones going on a field
trip. How many students willpe with each chaperone if the groups are
oiiidea equatry?
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22. Several stuQents were surveyed about their favorite
class. The results are shown in the table. What
fraction of the students chose music as their favorite
subject? Write the fraction in siryqolqt form. :.xr.r
/ S-\
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54
Favorite Class
Art
26
English
19
Math
Music
Science
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Name
My Homework
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Go online for
The table shows the total time it took Samir to read O,1,2,
and 3 pages of the book. The table also lists this information
as ordered pairs (number of pages,
tCraptr
total minutes).
(Exei",rples
Samirt Reading
Number
i-;)
the ordered pairs.
25
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E
E
20
lil-":!;
o
15
E
of
Pages,x
Total
Ordered
Minutes, y Pair (x,y)
0
0
(0,0)
'I
4
(1, 4)
2
8
(2,8)
3
12
(3, 12)
10
IE
o
5
0
12345
l{umber of Pages
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2.
Describe the oattern in the oraoh.
L
Ken's Home Supply charges 55 for each foot of fencing. Wayne's
Warehouse charges 56 for each foot of fencing. (Examptes 3-5)
3.
Make a table for each store that shows the total cost for 1 ,2,3, or 4 feet
of fencing. List the information as ordered pairs (feet of fencing, total cost).
Ken's HomeSupply
Fencing
Cost
(ft),x
ts
I
4.
($),/
z
h(0
j
$ls
+
d
WaynetWarehouse
Fencing
E,Yl
(ft),
It,r)
x
o
q
a
{ru/{Wr
tt{ttr,d1:e
od-
z
$lz
(a, rr)
(a, ts)
j
rF
(q tr)
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4
4zA
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30
25
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20
ta
15
o
10
5
0
+ tlllr{,,6-t^J
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gt^b. W codryllqnYF
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yl
(t,u)
Graph the ordered pairs for each store on the same
coordinate plane.
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(x,
?('
I',r)
fu tJtr,+o+k*.
y
I
fiUring the tables and graphs, write a few sentences
comparing the ratios of amount charged per foot of
fencing for each store. How is this shown on the graph?
E
Cost (SL
a
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Fencing (ft)
wrdr
. M4,lr@
o Vy,Xb
Lesson
5
Graph RatioTables
51
-lustify Conclusions
Patty's Pies made 2 peach pies using 10 cups of
peaches.They made 3 pies using 15 cups of peaches and 4 pies using 20 cups
6, &,S,*
epeachpies.Exptain
7,
KUlps.' alL W,t-lOs *=**
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et$!
w, w€tlcd
Reason tnductively The distance around a circle is also _ Circumference,
Diameter,
c
Ratio
called the circumference.The diameter of a circle is the distanqqfi
^
across the circle through its
\
center.
a.
f
U4t)rtt$tlt
The table shows the circumference and diameter for different
for each circle.
circles. Complete the table by estimating the ratio
f
b. The ratio $
is represeryted by the Greek letter zr, which is called
pi. Descri#e the ratio
I
for ttre values you calculated.
h,L
a Prediction Find two circular objects. Measure the diameter and
then make a prediction about the circumference of each circle. How could
you check your predictions?
c. llfiake
d.
il/ilt rlrut/ttr
ffirt,
Use the lnternet or another media source to research pi. Write a few
sentences about what you learned.
H.O.T. Problems
8. f,tS! Ffic*atr
aryith
Higher order Thinking
nMatltermati** Write a real-world problem using ratios or
rates that could be represented on the coordinate plane.
9. tq$ Fersevere with Problems
Give the coordinates of the point located
halfway 6et*"en (2, 1) and (2, 4).
10. g.t!! Persevere with Probtems The graph shows the cost of
purchasing pencilp from the school office. The graph is missing
a point to indicate the cost of 12 pencils. Complete the graph
by plotting the missing information. Explain your answer.
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oo
0
15
12
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9
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6
2
3
4t
a
=
;
0
=
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52
(hapter 1
Ratios and Rates