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11. Interpreting Nonlinear Expressions

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Interpreting nonlinear expressions Interpreting nonlinear expressions 1.

1. BeBen n FFrarank nk is is an an elelecectrtriciciaian n whwho o ininststalalls ls lilighghtiting ng fxfxtuturreses. . HeHe charges (in dollars) his clients15

charges (in dollars) his clients15hh+40+40f f  where where hh is the numer o!  is the numer o!  hours worked and

hours worked and f f  is the numer o! fxtures installed. is the numer o! fxtures installed.

How much does Ben Frank charge when he works " hours and How much does Ben Frank charge when he works " hours and installs #

installs # fxturfxtures$es$ %orrect answer&

%orrect answer& '' 45 45 leel&1leel&1

*

*.. hhe e eexx,,rreessssiioon n !!oor r tthhe e ssuurr!!aacce e aarreea a oo! ! a a ccuue e oo! ! ssiiddee length

length ss is  is ss**..

-hat is the sur!ace area o! a cue

-hat is the sur!ace area o! a cue with side lengthwith side length 33 2

2  units$ units$ %orr

%orrect ect answer& answer& *"* s/uar*"* s/uare e units units leel&1leel&1

.. rriic c oowwnns s aannd d oo,,eerraattees s tthhe e HHoot t HHaam m !!ooood d ttrruucckk. . hhee ex,ression .*5

ex,ression .*5bb+*+*hh gies the cost gies the cost bburgers andurgers and hh hot dogs. hot dogs. -hat is the cost o!

-hat is the cost o! 4 urgers and  hot dogs$4 urgers and  hot dogs$ %orrect answer&

%orrect answer& '' *5 *5 leel&1leel&1

4.

4. hhe e exex,r,resessision on 1*1*gg gigiees s ththe e nunummer er o! o! kikilolomemeteters rs a a cacar r cacann trael using

trael using gg liters o! gasoline. liters o! gasoline. How !ar can this car trael on 5 How !ar can this car trael on 5 11

2

2  liters o! gasoline$ liters o! gasoline$ %orr

%orrect ect answer& answer&   km km leel&1leel&1

5.

5. he ,rihe ,rice o! a ce o! a isisit to the dentiit to the dentist is calcust is calculatlated accoed accorrdinding to g to thethe !ormula 50+100

!ormula 50+100nn where where nn is the numer o! caities the dentist is the numer o! caities the dentist fnds.

fnds.

2n 3our last isit to the

2n 3our last isit to the dentist * caities were !ound.dentist * caities were !ound. -hat was the cost o! 3our isit$

(2)

%orrect answer&

%orrect answer& '' *50 *50 leel&1leel&1

.. sshh cc

((

qq

))

=

=

22qq

+

+

155155√ √ qq

+

+

2,0002,000

 com,an3 manu!actures ookcases

 com,an3 manu!actures ookcases. he !unction . he !unction aoe giesaoe gies

the cost %(/) in dollars o! ,roducing

the cost %(/) in dollars o! ,roducing qq  ookcases. -hat is ookcases. -hat is the fxed cost o! ,roduction e!ore an3 ookcases are ,roduced$

the fxed cost o! ,roduction e!ore an3 ookcases are ,roduced$

%orr

%orrect ect answer& answer& *000 *000 leel&*leel&*

".

". he !olhe !ollowlowing e/uing e/uatiation showon shows the heighs the heightthh in meters aoe the in meters aoe the

ground o! a !ootall

ground o! a !ootall t t  seconds a!ter a ,articular kick. seconds a!ter a ,articular kick.

h

h

=

=

0.30.3

+

+

5.55.5t t 

4.94.9t t 22

-hat was the height o! the !ootall

-hat was the height o! the !ootall at the moment o! the kick$at the moment o! the kick$

%orr

%orrect ect answer& answer& 0. 0. meters meters leel&*leel&*

6.

6. BB

((

nn

))

=

=

22nn 

 iinnaarr3 3 ccoodde e wwoorrd d oo! ! lleennggtthh nn iis s a a ssttrriinng g oo! ! 0077s s aannd d 1177ss

with

with nn didigigitts. s. FFor or eexaxamm,,lele  1100001 1 is is a a iinnarar3 3 cocode de woworrd d oo! ! 

length 4. he numer o! inar3 code words

length 4. he numer o! inar3 code words BB((nn) o! length) o! length nn  isis

shown aoe. 8! the length is increased !rom

shown aoe. 8! the length is increased !rom nn to to nn+1 how man3+1 how man3

more inar3 code words will there e$

more inar3 code words will there e$

. . ** B. B. 22nn %. %. 22nn++11 9. 9. 44nn %orr

%orrect ect answer& answer& B B leel& leel& **

#.

#. F F 

((

t t 

))

=

=

1,5001,500

((

1.0451.045

))

t t   he !uture 

 he !uture aluealue F F ((t t ) o! an inestment a!ter) o! an inestment a!ter t t  3ears is gien 3 3ears is gien 3

the !unction defned aoe. -hat is the initial

the !unction defned aoe. -hat is the initial alue o! thealue o! the

inestment$

inestment$

%orr

(3)

10.

10. RR

((

qq

))

=−

=−

0.310.31

((

qq

260260

))

22

+

+

18,50018,500

 shoe manu!acturer determines that its monthl3 reenue

 shoe manu!acturer determines that its monthl3 reenue RR((qq))

in dollars is

in dollars is gien 3 gien 3 the !unction defnethe !unction defned d aoaoe wheree whereqq is the is the

numer o! ,airs o! shoes sold each month. -hat is the maximum

numer o! ,airs o! shoes sold each month. -hat is the maximum

alue o! the

alue o! the com,an37s monthl3 reenue$com,an37s monthl3 reenue$

%orr

%orrect anect answer& swer& 16500 16500 leel& *leel& *

11. 11.  P  P

=

=

$$150150

((

1 1

((

11 1.03 1.03

))

10 10 0.03 0.03

))

 he e/uation aoe gies

 he e/uation aoe gies the ,resent the ,resent aluealuePP o! an inestment o! an inestment

that ,a3s the inestor '150,er 3ear !or 1010

that ,a3s the inestor '150,er 3ear !or 1010 3ears. he ,resent3ears. he ,resent

alue is the dollar

alue is the dollar amount that is e/ual to the series o! !utureamount that is e/ual to the series o! !uture

,a3ments. 8! the ,a3ments are changed !rom '150 to '"5 what is

,a3ments. 8! the ,a3ments are changed !rom '150 to '"5 what is

the e:ect on the ,resent alue

the e:ect on the ,resent alue PP$$

.

. the ,resent alue sta3s the the ,resent alue sta3s the samesame

B.

B. the ,resent alue is haledthe ,resent alue is haled

%.

%. the ,resent alue doulesthe ,resent alue doules

9.

9. the ,resent alue increases 3 ;the ,resent alue increases 3 ; %orrect

%orrect nswer& nswer& B B leel& leel& **

1*.

1*. PP

((

qq

))

=−

=−

0.010.01

((

qq

250250

)(

)(

qq

8080

))

 he e/uation aoe gies

 he e/uation aoe gies the ,roftthe ,roft PP((qq) in dollars earned 3 a) in dollars earned 3 a

cu,cake aker3 when

cu,cake aker3 when qq cu,cakes are ,rcu,cakes are ,roduced. -hat is the oduced. -hat is the estest

inter,retation o! the numer 6060 in

inter,retation o! the numer 6060 in this context$this context$

.

. 60 is a numer o! cu,cakes !or which the ,roft is e/ual to 60 is a numer o! cu,cakes !or which the ,roft is e/ual to '0.'0.

B.

B. 60 is the numer o! cu,cakes that corres,onds to the maximu60 is the numer o! cu,cakes that corres,onds to the maximu ,roft.

,roft.

%.

%. 60 60 iis s ththe e nnumumeer r o! o! cucu,,cacakkes es tthahat t cocorrrreses,o,ondnds s tto o ththee minimum ,roft.

minimum ,roft.

9.

9. '60 is the '60 is the maximum ,rmaximum ,roft in dollars.oft in dollars. %orr

%orrect ect nswer& nswer&   leel& leel& **

1.

1. mm<0.01<0.01 x  x **=0.0#=0.0# x  x +161.5+161.5

>ehmet ex,erimented with the numer o! grams (g)

>ehmet ex,erimented with the numer o! grams (g) o! sugar thato! sugar that would dissole in a s,ecifc olume o!

would dissole in a s,ecifc olume o! water at di:erentwater at di:erent tem,eratur

tem,eratures. He modeled his es. He modeled his results using the aoe e/uation toresults using the aoe e/uation to re,resent the numer o! grams

(4)

water was

water was x  x  degrees %elsius (?%). -hat is  degrees %elsius (?%). -hat is the est inter,retation o!the est inter,retation o! the 161.5 in >ehmet7s e/uation$

the 161.5 in >ehmet7s e/uation$ .

. 8n his ex,8n his ex,erimeeriment a maximnt a maximum o! 161.5g o! sugum o! 161.5g o! sugar dissoar dissoled in theled in the water.

water. B.

B. 88n n hihis s eexx,e,errimimenent t 0g 0g oo! ! ssugugar ar ddisisssololeed d whwhen en ththe e wwataterer tem,eratur

tem,erature e was 161.5?%.was 161.5?%. %

%.. 88n n hhiis s eexx,,eerriimmeenntt  wwhheen n tthhe e wwaatteer r tteemm,,eerraattuurree was 0?% 161.5g o! sugar dissoled.

was 0?% 161.5g o! sugar dissoled. 9.

9. 8n 8n hihis s exex,er,erimimenent t ththe e mamaxiximumum m nunummer er o! o! grgramams s o! o! susugagarr dissoled when the water tem,erature was 161.5?%.

dissoled when the water tem,erature was 161.5?%. %orrect

%orrect nswer& nswer& % % leel& leel& **

14.

14. T T ((r r )<)< 7272 rr  he @

 he @ule o! "* estimates the timule o! "* estimates the timee T T ((r r ) in 3ears needed !or an) in 3ears needed !or an inestment to doule when the annual interest rate is

inestment to doule when the annual interest rate is r r ; as shown; as shown in the !unction aoe. -hich o!

in the !unction aoe. -hich o! the !ollowing is the est the !ollowing is the est descri,tiondescri,tion o! the numer "* in

o! the numer "* in this context$this context$ .

. "* is the tim"* is the time needed !oe needed !or an3 inr an3 inestmestment to douent to doule.le. B.

B. "* "* is the numeis the numer r o! 3earo! 3ears s neeneeded !or an ded !or an ininestestmement to nt to doudoulele when the annual interest rate is 1;.

when the annual interest rate is 1;. %.

%. "* is the m"* is the maximum numaximum numer o! 3ears er o! 3ears it can takit can take !or an inee !or an inestmentstment to doule.

to doule. 9.

9. "* "* is the is the numnumer o! er o! 3ea3ears needers needed d !or an !or an ininestestmement to nt to doudoulele when the annual interest rate is *;.

when the annual interest rate is *;. %orrect

%orrect nswer& nswer& B B leel& leel& 

15. 15. A A(( x  x )< =)< = 11 4 4  ( ( x  x =*5)=*5) * *+*5+*5  he area

 he area A A(( x  x ) o! a ) o! a rectangular enclosurrectangular enclosure that can e that can e made !rom ae made !rom a limited amount o! !encing is shown aoe where

limited amount o! !encing is shown aoe where x  x  is the length o! is the length o! one o! the sides o!

one o! the sides o! the enclosure measurthe enclosure measured in !eet. -hat is ed in !eet. -hat is thethe maximum area that can e enclosed$

maximum area that can e enclosed$ %

%oorrrreecct t nnsswweerr& & **5 5 ss/ / !!t t lleeeell& & 

1.

1. -ilma cr-ilma created the !ollowing !ormeated the !ollowing !ormula to model the distanceula to model the distance dd  inin inches aoe the Aoor o! her um, a!ter

inches aoe the Aoor o! her um, a!ter t t  seconds had ,assed. seconds had ,assed. d

d<144<144t t (0.5=(0.5=t t ))

-hat is the est inter,retation o! the numer 0.5 in

-hat is the est inter,retation o! the numer 0.5 in this e/uation$this e/uation$ .

. -il-ilma umma um,ed !r,ed !rom an initom an initial heigial height o! 0.5 inchht o! 0.5 inches.es. B.

B. -ilma -ilma landed on landed on the grthe ground 0.5 secoound 0.5 seconds a!tnds a!ter she umer she um,ed.,ed. %.

%. -il-ilma um,ma um,ed with an inited with an initial elociial elocit3 o! 0.5 inches ,er set3 o! 0.5 inches ,er secondcond.. 9.

9. -il-ilma7s um, reachma7s um, reached a ed a maximaximum distanmum distance o! 0.5 ce o! 0.5 incheinches aoes aoe the Aoor.

the Aoor. %orrect

(5)

1".

1". PP((t t )<*5)<*5

((

22

))

1.061.06t t 

 he numer o! 3east

 he numer o! 3east cellscells PP((t t ) in a culture a!ter) in a culture a!ter t t  da3s is modeled da3s is modeled 3 the e/uation shown aoe. !ter how man3 da3s will the

3 the e/uation shown aoe. !ter how man3 da3s will the ,o,ulation doule in

,o,ulation doule in siCe$ @ousiCe$ @ound the nd the answer to the nearest tenth.answer to the nearest tenth. %orrect

%orrect nswer& nswer& 1.1 1.1 leel& leel& 

16

16.. hhe e e/e/uauatition on eelolow w momodedels ls ththe e heheigightht hh  in in !e!eet et aaooe e ththee w

watater er !o!or r a a cacale le in in a a sususs,e,ennssioion n rrididgge e at at a a hhooririCoContntalal distance

distance x  x  in !eet !rom the eginning o!  in !eet !rom the eginning o! the s,an.the s,an. h

h<0.000*(<0.000*( x  x =1#55)=1#55)**+100+100

How man3 !eet aoe the water is the

How man3 !eet aoe the water is the lowest ,oint on the cale$lowest ,oint on the cale$ %o

%orrrrecect t nnswswerer& & 10100 0 !e!eet et leleeel& l& 

1#.

1#. PP((ss)<=()<=(ss==aa))**++bb

 he D

 he DerkesE9erkesE9odson law ,rodson law ,redicts that the redicts that the relationshi, etween strelationshi, etween stressess leel

leel ss and ,er!ormance and ,er!ormance P P((ss) o! a dicult task can ) o! a dicult task can e modeled 3e modeled 3 a !unction o! the !orm shown aoe where

a !unction o! the !orm shown aoe where aa and and bb are constants are constants related to the measures o! stress and ,er!ormance !or a ,articular related to the measures o! stress and ,er!ormance !or a ,articular task. -hat is the est inter,retation o!

task. -hat is the est inter,retation o! aa in this context$ in this context$ .

. aa is the leel  is the leel o! stress at which ,er!ormance is minimal.o! stress at which ,er!ormance is minimal. B.

B. aa is the leel  is the leel o! ,eak ,er!ormance.o! ,eak ,er!ormance. %.

%. aa is the leel  is the leel o! stress at which ,er!ormance is maximal.o! stress at which ,er!ormance is maximal. 9.

9. aa is the leel o! stress at which ,er!ormance is is the leel o! stress at which ,er!ormance is 11 2

2  o! maximal o! maximal ,er!ormance.

,er!ormance. %orrect

%orrect nswer& nswer& % % leel& leel& 

*0.

*0. F F ((t t )<)<

((

0.950.95

))

t t 22

 he !unction

 he !unction F F ((t t ) defned aoe gies ) defned aoe gies the ,ercentage o! in!ormationthe ,ercentage o! in!ormation 9ianna retained

(6)

she did not work on her

she did not work on her lines again what is the est lines again what is the est descri,tiondescri,tion o! 0.#5 in this

o! 0.#5 in this context$context$ .

. 9iann9ianna will !ora will !orget #5; o! wget #5; o! what she rhat she retainetained one da3 aed one da3 ago.go. B.

B. 9iann9ianna will !orga will !orget #5; o! what she ret #5; o! what she retainetained two da3s aged two da3s ago.o. %.

%. 9ianna will 9ianna will rememrememer #5; oer #5; o! what s! what she rhe retained one etained one da3 ago.da3 ago. 9.

9. 9ianna will r9ianna will rememer #5; ememer #5; o! what sho! what she retained e retained two da3s agotwo da3s ago.. %orrect

%orrect nswer& nswer& 9 9 leel& leel& 44

*

*11.. hhe e aammoouunnt t oo! ! wwaatteer r aa,,oorr v v ((iin n ggrraammss))  tthhaat t wwiillll saturate 1 kilogram o! dr3 air when the tem,erature is

saturate 1 kilogram o! dr3 air when the tem,erature is dd degrees degrees %elsius is a,,roximated 3 the !ollowing e/uation.

%elsius is a,,roximated 3 the !ollowing e/uation. v 

v <4.04<4.04⋅⋅1.0"1.0"  x   x 

For each increase o! 1

For each increase o! 1 degree what is the ,ercent increase in degree what is the ,ercent increase in thethe amount o! water a,or re/uired to saturate the

amount o! water a,or re/uired to saturate the air according to thisair according to this model$

model$

(9o not t3,e the ,ercent sign.) (9o not t3,e the ,ercent sign.)

%

%oorrrreecct t nnsswweerr& & " " ; ; lleeeell& & 44

**.

**. he administratorhe administrators o! a !actor3 modeled the cums o! a !actor3 modeled the cumulatie aerageulatie aerage construction time in minutes ,er engine com,onent as a !unction construction time in minutes ,er engine com,onent as a !unction o

o! ! tthe he ttototal al nnumumeer r o! o! cocomm,o,onenennts ts ththeieir r emem,,lolo33eeees s hhadad constructed

constructed nn using the !ollowing !unction& using the !ollowing !unction& T 

T ((nn)<.5+")<.5+"⋅⋅0.#0.# n n

-hat was the cumulatie aerage time !or an em,lo3ee to construct -hat was the cumulatie aerage time !or an em,lo3ee to construct one engine com,onent when the3 frst egan$

one engine com,onent when the3 frst egan$ %o

%orrrrecect t nnswswerer& & 1010.5 .5 miminunutetes s ,e,er r enengigine ne cocom,m,ononenentt leleeel&l& 4

4

*.

*. r r <0.5(1.*)<0.5(1.*)θθ

 certain t3,e o! mollusk has a

 certain t3,e o! mollusk has a shell in the sha,e o! shell in the sha,e o! a s,iral asa s,iral as shown elow. he distance

(7)

is modeled 3 the e/uation aoe where

is modeled 3 the e/uation aoe where θθ is the angle in radians is the angle in radians measur

measured counterclockwise !rom the ,ositie ed counterclockwise !rom the ,ositie xx x  x Eaxis to the sameEaxis to the same ,oint on the s,iral. -hat is the est descri,tion o! 0.5 in this

,oint on the s,iral. -hat is the est descri,tion o! 0.5 in this !ormula$

!ormula$

. 0.5 is the rate o!

. 0.5 is the rate o! increase o! the radius ,er *increase o! the radius ,er *π π  radians. radians. B. 0.5 is the ratio o! radii that di:er 3 *

B. 0.5 is the ratio o! radii that di:er 3 *π π  radians. radians. %. 0.5 units is

%. 0.5 units is the length o! the radius corres,onding tothe length o! the radius corres,onding to θθ<0.<0. 9. 0.5 units is the

9. 0.5 units is the length o! the radius corres,onding tolength o! the radius corres,onding to θθ<*<*π π .. %orrect

%orrect nswer& nswer& % % leel& leel& 44

*4

*4.. ccccorordiding ng to to BeBerrnonoululli7li7s s e/e/uauatition on eelolow w ththe e ,r,rododucuct t o! o! ththee area

area A A11 o! a crossEsection o! a hose at a ,articular ,oint and the o! a crossEsection o! a hose at a ,articular ,oint and the

elocit3

elocit3 V  V 11 o! water traeling through the hose at that ,oint will o! water traeling through the hose at that ,oint will

e e/ual to the ,roduct o! the area

e e/ual to the ,roduct o! the area A A** o! a second crossEsection o! a second crossEsection

o! the same hose at a second ,oint and the elocit3

o! the same hose at a second ,oint and the elocit3 V  V ** o! water o! water

traeling through the hose at the second ,oint. traeling through the hose at the second ,oint.  A

 A11V V 11<< A A**V V **

8! someone coers 8! someone coers 11

4

4  o! the o,ening o! a hose how will the o! the o,ening o! a hose how will the elocit3 o! the water coming out o!

elocit3 o! the water coming out o! the hose change$the hose change$ .

(8)

will e will e 11

4

4  o! the elocit3  o! the elocit3 through the !ull o,ening.through the !ull o,ening. B.

B. he elohe elocit3 o! cit3 o! the watethe water r thrthrougough h the ,artthe ,artialiall3 coerl3 coered o,enied o,eningng will e

will e 33 4

4  o! the elocit3 through the !ull  o! the elocit3 through the !ull o,ening.o,ening. %.

%. he elohe elocit3 o! cit3 o! the watethe water r thrthrougough h the ,artthe ,artialiall3 l3 cocoerered ed o,eo,eninningg will e

will e 44 3

3  o! the elocit3 through the !ull  o! the elocit3 through the !ull o,ening.o,ening. 9.

9. he elocihe elocit3 o! the water thrt3 o! the water through the ,artough the ,artiall3 coeiall3 coered o,ered o,eningning will e 4 times the

will e 4 times the elocit3 through the !ull o,ening.elocit3 through the !ull o,ening. %orrect

%orrect nswer& nswer& % % leel& leel& 44

*5.

*5. PP((t t )<400(1.5))<400(1.5)t t 

Biologists stock

Biologists stocked a lake with a new ed a lake with a new s,ecies o! fsh. he numer o!s,ecies o! fsh. he numer o! the new s,ecies o! fsh in

the new s,ecies o! fsh in the lakethe lake P P((t t )) t t  3ears a!ter eing  3ears a!ter eing stockedstocked is shown aoe. How man3 fsh did the iologists initiall3

is shown aoe. How man3 fsh did the iologists initiall3 add to theadd to the lake$

lake$

%orrect

%orrect nswer& nswer& 400 400 leel& leel& 44

*.

*. A A(( x  x ) <) < 20,00020,000

+

+

0.150.15 x x  x

 x

 doughnut !ranchise has determined that its aerage cost ,er unit  doughnut !ranchise has determined that its aerage cost ,er unit (doughnut)

(doughnut) A A(( x  x ) is gien 3 ) is gien 3 the aoe !unction wherethe aoe !unction where x  x  is the is the numer o! units

numer o! units ,roduced,roduced x  x G0. -hich o! the !ollowing estG0. -hich o! the !ollowing est

descries what ha,,ens to the aerage cost ,er doughnut as the descries what ha,,ens to the aerage cost ,er doughnut as the numer o! doughnuts

numer o! doughnuts ,rodu,roduced increases$ced increases$ .

. he ahe aerage cerage cost geost gets clots closer and ser and closer closer to 0.to 0. B.

B. he aerhe aerage cost geage cost gets closets closer and closer tr and closer to '0.15 ,er dougo '0.15 ,er doughnut.hnut. %.

%. he ahe aerage erage cost cost is '0.1is '0.15 ,er d5 ,er doughnoughnut.ut. 9

9.. hhe e aaeerraagge e ccoosst t ggeetts s cclloosseer r aannd d cclloosseer r tto o ''**0000000 0 ,,eerr doughnut.

(9)

%orrect

%orrect nswer& nswer& B B leel& leel& 44

*".

*". @@eem is eem is a a test drier !or test drier !or an automoan automoile ile com,com,an3an3. . he !ollowinghe !ollowing !ormula gies the total distance

!ormula gies the total distancedd in !eet that @eem droe a in !eet that @eem droe a luxur3 car in the frst

luxur3 car in the frst t t  seconds a!ter idling at a s,eed o! 0 miles seconds a!ter idling at a s,eed o! 0 miles ,er hour u, to the time when she ,assed a ,articular sa!et3 ,er hour u, to the time when she ,assed a ,articular sa!et3 cone.

cone. d

d<15.#<15.#t t **

%om,ared to the time it took @eem to ,ass the sa!et3 cone how %om,ared to the time it took @eem to ,ass the sa!et3 cone how long did it take to ,ass a

long did it take to ,ass a sensor that wassensor that was 44 9

9  o! the distance !rom o! the distance !rom the start$

the start$ .

. 1616 81

81  o! the time it  o! the time it re/uirre/uired to ,ass the coneed to ,ass the cone

B. B. 44

9

9  o! the time it  o! the time it re/uirre/uired to ,ass the coneed to ,ass the cone %.

%. 22 3

3  o! the time it  o! the time it re/uirre/uired to ,ass the coneed to ,ass the cone

9. 9. 99

4

4  o! the time it  o! the time it re/uirre/uired to ,ass the coneed to ,ass the cone %orrect

%orrect nswer& nswer& % % leel& leel& 44

*6.

*6. hhe e temtem,er,eratuaturere T T iin n ddeeggrreeees s %%eellssiiuus s oo! ! a a cchhiilllleed d ddrriinnkk a!ter m

a!ter mmm miminunutetes s sisittttining g on on a a tatalle e is is gigieen n 3 3 ththe e !o!ollllowowiningg !unction. !unction. T  T ((mm)<*=*6)<*=*6⋅⋅ =0.05 =0.05mm

-hat is the est inter,retation o! the numer * in

-hat is the est inter,retation o! the numer * in this !unction$this !unction$ .

. he drhe drink is orink is originaiginall3 * degll3 * degreerees %elss %elsius.ius. B.

B. er3 * er3 * minutes tminutes the tem,erathe tem,erature wure warms arms 3  degr3  degrees %elsius.ees %elsius. %.

%. !!teter r * * mmininututeses  ththe e drdrinink k wiwill ll !u!ullll3 3 wawarrm m to to ththe e amamiienentt tem,erature.

(10)

9

9.. !!teter r ssitittiting ng !o!or r a a eerr3 3 lolong ng ttimime e tthe he ddrirink nk wwilill l wawarrm m uu,, to * degrees %elsius.

to * degrees %elsius. %orrect

References

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