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100
Solve the problems.
The equation r= ~ b represents the n~mber of cups of raisins, r. that you need to make
b batches of trail mix. Which point would be on a graph that represents this proportional
relationship? Show work.
r~ ~ b
'I: * ~S ~ ~(a.t)3; 3
y Weight of Boxes
A (~, 1)x 'I(4,'3)b r
I
o (0, ~)c (3,4)
®
Look at the graph. What is the meaningof the point shown with a star?
L...-./ V"
.,,- ..."
./ ".......: ." ,.,,-•..•.. ')~ x
A ~3c::::s02Q..
~1~~
o 5
Half of a box weighs 1 pound.
Each box weighs ~ pound.
Each box weighs 1 pound.
Each box weighs 2 pounds.
®co
1 2 3 4Number of Boxes
A baker is making dough for bread. The number of cups of flour he uses is proportional to
the number of loaves he makes. The baker uses 18! cups of flour to make 5 loaves of bread.
Which of the following correctly represents this proportion? Select all that apply.
® f = 3 ~ b, where f is the number of cups of flour
and b is the number of bread loaves.
y30
~ 25ou::: 20'0 15a 10a 5
I Y1I )J(~ 2.I V
I; IV l' , i!:>~
) ((;.I
.5I i
l/ !II x
5)
Cups of flour 23~ 28~ 33~4 4 4
Number of loaves 10 15 20K'" 2"/9 1\0+ ~·/II.j .
C b = 3 ~ f, where f is the number of cups of flour
and b is the number of bread loaves. IB~ ~Iw.-o 1 234 5 678
Loaves of Bread
IB~ ~5; ~~1'-'
C.o~~ ~"'f""CfO'""~Nln ~
©Curriculum Associates, LLC Copying is not permitted.
The graph shows the total amount of dog foodthat Sophia's dog Nipper eats. Which statement isNOT correct? "Wh,,\ ?
Amount of Dog Food Eateny
6 I I5 i L4 i '13I 1,..0-'
~ ~ I" k io-"
1I
1 I...~ I i
;
i.
A The data represents a proportional relationship. ~s::::::sThe point (5, 2) means that Nipper eats 5 pounds 0
of dog food in 2 days. Hi ('~ 2.P6u-c-.d,> ." ~dr:l'il 0-V x
The point (0, 0) has no .rneaning in this situation. 0 1 2 3 4 5 6 7 8 9 1011OdA.'-I'!:JO~" fA.+etf\ Days
The constant of proportionality is 0.4.
x
®
©D
Len wants to paint a wall in his house. He knows that 1 can of paint covers an area of32 square feet. The dimensions of the wall are shown. Shade in the correct number of paintcans he will need to buy. Hint: Qrf4 :. L~nfl"" • ~",d.th
LJLJLJEJLJEJEJLJLJLJ. :
10 ft12.)( It> ~ 12.b
120:- 32. -:; 3~\'2.. )Co Ib
12 ftPaint Cans
5'4 C01\~ ~t~ a\~o CAV"\ a.('~e~+c.c.~l@~i\~we.r 'O·'V\t...e \lOt.( Qa..n u.se ~ 1''(:(\Ot.n~ 0.( pct\f\.'\ b",-'" 'l()1,{ V\4.v(' 4-0 1'''''"Y~~t' 4.
Tom and Jeff studied the data in the table. They each wrote an equation to represent therelationship between the number of students -and the number of pizzas ordered .
Tom's equation: p = ~s
8
.... , .' . '.' .," ". Stude.,.ts(s) .. · I,
28 712 332Jeff's equation: 5 = 4p
\L 16~ L- ~ ~4
The teacher said that both equations were correct. Explain whx.
-p=- 1s S=- Lfp
Go back and see what you can check off on the Self Check on page 77.
101Copying is not permitted.