WGUpKnowledgepCenter
PRE-ASSESSMENT: p APPLIED p ALGEBRA p (FXO1) p (PFXO)
Attemptp#1pSt
atus:pPassed
1. Aplocalpbusinesspisplookingptopbecomepapfranchise.pThepcompanypwantsptoppredictpthepnumberpofpfranchises,pF,pgivenpapcertainpnu
mberpofpyears,pY.pThisppredictionpispmodeledpbypthepfunctionpF(Y).
WhatpcanpbepconcludedpbypF(5)p=p10?
YOUR CORRECT
ANSWER ANSWER
Everyp5pyears,p10pstorespwillpbepopened.
Everyp10pyears,p5pstorespwillpbepopened.
Inp5pyears,ptherepwillpbep10popenpstores.
Inp10pyears,ptherepwillpbep5popenpstores.
2. Apbankpbeginspapmarketingpcampaignptopincreasepitspnumberpofpcustomers.pEachpmonth,pallpnewpcustomersparepputpintopapdrawing.pO
nepcustomerpthenpreceivespap$50pcreditpinpapcheckingpaccount.
Thepamountpofpmoneypgivenpawaypinpthepdrawing,pG,pispapfunctionpofpthepnumberpofpmonths,pM,pthepdrawingphaspbeenpgoingponpfor.
Whatpispthepcorrectpfunctionpnotationptoprepresentpthepamountpofpmoneypgivenpawaypafterpthepdrawingphaspbeenpgoingponpforp5pmonths?
YOUR CORRECT
ANSWER ANSWER
G(5)p=p250
G(250)p=p5
G(5)p=p10
G(10)p=p5
3. Thepvolumepofpcalls,pV(h),patpapparticularpcustomerpservicepcenterpcanpbepwrittenpaspapfunctionpofpthepnumberpofphourspafterpopeningp
eachpday,ph.
Whatpwouldptheporderedppairp(6,8)prepresentpforpthispfunction
? YOUR CORRECT
ANSWER ANSWER
AccessibilitypPolicy AccessibilitypSettings
Therepwerep8pcallsp6phourspafterpopening
.
Therepwerep6pcallsp8phourspafterpopening.
pTherepwerephpcallsp6phourspafterpopenin
g.pTherepwerep8pcallspVphourspafterpopeni
ng.
4. Apcompanyphaspdevelopedptwopfunctions,pL(t)pandpM(t),pthatpdeterminepthepleastpamountpandpmostpamount,prespectively,pofprevenuepitpwi
llpmakepinpanypgivenpmonthpinpdollarsp(withptp=p1pcorrespondingptopJanuary).
WhatpcanpthepcompanypreasonablypconcludepifpL(2)p=p3,000pandpM(2)p=p5,000?
, YOUR CORRECT
ANSWER ANSWER
InpFebruary,pitpwillpmakep$2,000.
InpFebruary,pitpwillpmakepbetweenp$3,000pandp$5,000.
ItpwillpmakepmorepmoneypinpFebruarypifpitpusespM(t)pinsteadpofpL(t).
Itpcannotpmakepmorepthanp$3,000pinpFebruarypbutpcanpmakepupptop$5,000pafterpFebruary.
5. Apserverpatpaprestaurantphasprealizedpthatptips,pT,pinpdollarspareprelatedptopthepnumberpofphours,ph,pthatphavepbeenpworkedponpanyp
givenpday.pTipspcanpbepmodeledpbypthepfunctionpT(h)p=pX.
Howpcanpthispfunctionpbepinterpreted?
YOUR CORRECT
ANSWER ANSWER
Ifpthepserverpworksphphours,ptheptipspwillpbep$X.
IfpthepserverpworkspTphours,ptheptipspwillpbep$h.
Ifpthepserverpworksphphours,ptheptipspwillpbep$T(X).
IfpthepserverpworkspXphours,ptheptipspwillpbep$T.
6. Apcompanyppayspitspemployeespapbasepsalarypeachpmonthppluspapcommission,pC,pbasedponpthepnumberpofpsales,ps,pmadepbypanpemployeepdu
rinpthe pmonth.pAnpemployeepmadep8psalespinptheplastpmonthpandpreceivedpapcommissionpofp$1,600.
Howpwouldp thisp beprepresentedpinpfunctionp notation?
YOURp CORRECT
ANSWER p ANSWE
R
C(8)p=p1600
C(1600)p=p8
s(8)p=p1600
s(1600)p=p8
7. Belowpispapgrowthpgraphpofpapbusiness.pItpcomparespgrosspgrowthpandpnetpgrowth.
AccessibilitypPolicy AccessibilitypSettings
, Whatpcanpbepsaidpaboutpthepgrowthpbetweenpthepyearspofp2012pandp201
4? YOURp CORRECT
ANSWER p ANSWE
R
Bothpgrosspandpnetpgrowthpdecreased.
Bothpgrosspandpnetpgrowthpincreased.
Thepgrosspgrowthpincreasedpwhilepthepnetpgrowthpdecreased.pT
hepgrosspgrowthpdecreasedpwhilepthepnetpgrowthpincreased.
8. Thepgraphpbelowpshowspthepthree-monthpaverageppercentagepyear-on-yearpgrowthpforprealptotalppaypforpthepyearsp2010–
2016,palongpwithpthepOfficepforpBudgetpResponsibility'sp(OBR's)pgrowthpforecastpforpthepyearsp2016–2021.
AccessibilitypPolicy AccessibilitypSettings
, Whatpcanpbepconcludedpfrom pthispgraph
? YOURp CORRECT
ANSWER p ANSWE
R
Theprealptotalppaypgrowthpoutturnpremainedpbetweenp–2%pandp2%pfromp2010pandp2016.
ThepOBRpforecastspthepgrowthpwillpremainpbetweenp1%pandp2%pbetweenp2016pandp2021.pT
heprealptotalppaypgrowthpoutturnpexceededp3%patpsomeppointpbetweenp2010pandp2016.
ThepOBRpforecastspthepgrowthpwillpremainpabovep1%pbetweenp2016pandp2021.
9. p p p p p p p p p p p p p
AccessibilitypPolicy AccessibilitypSettings
PRE-ASSESSMENT: p APPLIED p ALGEBRA p (FXO1) p (PFXO)
Attemptp#1pSt
atus:pPassed
1. Aplocalpbusinesspisplookingptopbecomepapfranchise.pThepcompanypwantsptoppredictpthepnumberpofpfranchises,pF,pgivenpapcertainpnu
mberpofpyears,pY.pThisppredictionpispmodeledpbypthepfunctionpF(Y).
WhatpcanpbepconcludedpbypF(5)p=p10?
YOUR CORRECT
ANSWER ANSWER
Everyp5pyears,p10pstorespwillpbepopened.
Everyp10pyears,p5pstorespwillpbepopened.
Inp5pyears,ptherepwillpbep10popenpstores.
Inp10pyears,ptherepwillpbep5popenpstores.
2. Apbankpbeginspapmarketingpcampaignptopincreasepitspnumberpofpcustomers.pEachpmonth,pallpnewpcustomersparepputpintopapdrawing.pO
nepcustomerpthenpreceivespap$50pcreditpinpapcheckingpaccount.
Thepamountpofpmoneypgivenpawaypinpthepdrawing,pG,pispapfunctionpofpthepnumberpofpmonths,pM,pthepdrawingphaspbeenpgoingponpfor.
Whatpispthepcorrectpfunctionpnotationptoprepresentpthepamountpofpmoneypgivenpawaypafterpthepdrawingphaspbeenpgoingponpforp5pmonths?
YOUR CORRECT
ANSWER ANSWER
G(5)p=p250
G(250)p=p5
G(5)p=p10
G(10)p=p5
3. Thepvolumepofpcalls,pV(h),patpapparticularpcustomerpservicepcenterpcanpbepwrittenpaspapfunctionpofpthepnumberpofphourspafterpopeningp
eachpday,ph.
Whatpwouldptheporderedppairp(6,8)prepresentpforpthispfunction
? YOUR CORRECT
ANSWER ANSWER
AccessibilitypPolicy AccessibilitypSettings
Therepwerep8pcallsp6phourspafterpopening
.
Therepwerep6pcallsp8phourspafterpopening.
pTherepwerephpcallsp6phourspafterpopenin
g.pTherepwerep8pcallspVphourspafterpopeni
ng.
4. Apcompanyphaspdevelopedptwopfunctions,pL(t)pandpM(t),pthatpdeterminepthepleastpamountpandpmostpamount,prespectively,pofprevenuepitpwi
llpmakepinpanypgivenpmonthpinpdollarsp(withptp=p1pcorrespondingptopJanuary).
WhatpcanpthepcompanypreasonablypconcludepifpL(2)p=p3,000pandpM(2)p=p5,000?
, YOUR CORRECT
ANSWER ANSWER
InpFebruary,pitpwillpmakep$2,000.
InpFebruary,pitpwillpmakepbetweenp$3,000pandp$5,000.
ItpwillpmakepmorepmoneypinpFebruarypifpitpusespM(t)pinsteadpofpL(t).
Itpcannotpmakepmorepthanp$3,000pinpFebruarypbutpcanpmakepupptop$5,000pafterpFebruary.
5. Apserverpatpaprestaurantphasprealizedpthatptips,pT,pinpdollarspareprelatedptopthepnumberpofphours,ph,pthatphavepbeenpworkedponpanyp
givenpday.pTipspcanpbepmodeledpbypthepfunctionpT(h)p=pX.
Howpcanpthispfunctionpbepinterpreted?
YOUR CORRECT
ANSWER ANSWER
Ifpthepserverpworksphphours,ptheptipspwillpbep$X.
IfpthepserverpworkspTphours,ptheptipspwillpbep$h.
Ifpthepserverpworksphphours,ptheptipspwillpbep$T(X).
IfpthepserverpworkspXphours,ptheptipspwillpbep$T.
6. Apcompanyppayspitspemployeespapbasepsalarypeachpmonthppluspapcommission,pC,pbasedponpthepnumberpofpsales,ps,pmadepbypanpemployeepdu
rinpthe pmonth.pAnpemployeepmadep8psalespinptheplastpmonthpandpreceivedpapcommissionpofp$1,600.
Howpwouldp thisp beprepresentedpinpfunctionp notation?
YOURp CORRECT
ANSWER p ANSWE
R
C(8)p=p1600
C(1600)p=p8
s(8)p=p1600
s(1600)p=p8
7. Belowpispapgrowthpgraphpofpapbusiness.pItpcomparespgrosspgrowthpandpnetpgrowth.
AccessibilitypPolicy AccessibilitypSettings
, Whatpcanpbepsaidpaboutpthepgrowthpbetweenpthepyearspofp2012pandp201
4? YOURp CORRECT
ANSWER p ANSWE
R
Bothpgrosspandpnetpgrowthpdecreased.
Bothpgrosspandpnetpgrowthpincreased.
Thepgrosspgrowthpincreasedpwhilepthepnetpgrowthpdecreased.pT
hepgrosspgrowthpdecreasedpwhilepthepnetpgrowthpincreased.
8. Thepgraphpbelowpshowspthepthree-monthpaverageppercentagepyear-on-yearpgrowthpforprealptotalppaypforpthepyearsp2010–
2016,palongpwithpthepOfficepforpBudgetpResponsibility'sp(OBR's)pgrowthpforecastpforpthepyearsp2016–2021.
AccessibilitypPolicy AccessibilitypSettings
, Whatpcanpbepconcludedpfrom pthispgraph
? YOURp CORRECT
ANSWER p ANSWE
R
Theprealptotalppaypgrowthpoutturnpremainedpbetweenp–2%pandp2%pfromp2010pandp2016.
ThepOBRpforecastspthepgrowthpwillpremainpbetweenp1%pandp2%pbetweenp2016pandp2021.pT
heprealptotalppaypgrowthpoutturnpexceededp3%patpsomeppointpbetweenp2010pandp2016.
ThepOBRpforecastspthepgrowthpwillpremainpabovep1%pbetweenp2016pandp2021.
9. p p p p p p p p p p p p p
AccessibilitypPolicy AccessibilitypSettings
