WGU C957 APPLIED ALGEBRA FINAL OBJECTIVE ASSESSMENT 2023/2024. LATEST UPDATE A GUARANTEED PASS

1/11WGUC957APPLIEDALGEBRA
FINALOBJECTIVEASSESSMENT
2023/2024.LATESTUPDATEA
GUARANTEEDPASS
1.Alocalbusinessislookingtobecomeafranchise.Thecompanywantstopredict
thenumberoffranchises,F,givenacertainnumberofyears,
Y.ThispredictionismodeledbythefunctionF(Y).Whatcanbeconcludedby
F(5)=10?:In5years,therewillbe10openstores.
2.Abankbeginsamarketingcampaigntoincreaseitsnumberofcustomers.Each
month,allnewcustomersareputintoadrawing.Onecustomerthenreceivesa
$50creditinacheckingaccount.Theamountofmoneygivenawayinthe
drawing,G,isafunctionofthenumberofmonths,M,thedrawinghasbeen
goingonfor.Whatisthecorrectfunctionnotationtorepresenttheamountof
moneygivenawayafterthedrawinghasbeengoingonfor5months?:G(5)=
250
3.Thevolumeofcalls,V(h),ataparticularcustomerservicecentercanbewritten
asafunctionofthenumberofhoursafteropeningeachday,h. 2/11
Whatwouldtheorderedpair(6,8)representforthisfunction?:Therewere8calls
6hoursafteropening.
4.Acompanyhasdevelopedtwofunctions,L(t)andM(t),thatdeterminethe
leastamountandmostamount,respectively,ofrevenueitwillmakeinanygiven
monthindollars(witht=1correspondingtoJanuary).Whatcanthecompany
reasonablyconcludeifL(2)=3,000andM(2)=5,000?:InFebruary,itwillmake
between$3,000and$5,000.
5.Aserveratarestauranthasrealizedthattips,T,indollarsarerelatedtothe
numberofhours,h,thathavebeenworkedonanygivenday.Tipscanbe
modeledbythefunctionT(h)=X.Howcanthisfunctionbeinterpreted?:Ifthe
serverworkshhours,thetipswillbe$X.
6.Acompanypaysitsemployeesabasesalaryeachmonthplusacommis-sion,C,
basedonthenumberofsales,s,madebyanemployeeduringthemonth.An
employeemade8salesinthelastmonthandreceivedacommis-sionof$1,600.
Howwouldthisberepresentedinfunctionnotation?:C(8)=
1600
7.Belowisagrowthgraphofabusiness.Itcomparesgrossgrowth and
netgrowth.Whatcanbesaidaboutthegrowthbetweentheyearsof2012
and2014?:Bothgrossandnetgrowthincreased.
8.Thegraphbelowshowsthethree-monthaveragepercentageyear-on-year
growthforrealtotalpayfortheyears2010-2016,alongwiththeOfficefor
BudgetResponsibility's(OBR's)growthforecastfortheyears2016-2021.
Whatcanbeconcludedfromthisgraph?:TheOBRforecaststhegrowthwillremain
above1%between2016and2021. 3/11
9.Thefollowinggraphshowstheprofitsofacompanyforthelastfiscalyear.
Approximatelyhowmuchhavethecompany'sprofitsincreasedoverthelast
year?:30%
10.BlackMondayoccurredonOctober19,1987,andrepresentsthesinglelargest
declineoftheDowJonesaverageinhistory.Thefunctionfrepresentsaseven-
monthperiodduringwhichBlackMondayoccurred.Thefunctionvaluef(1)
representstheDowJonesaverageinJuneof1987.Whichfunctionvalue
representstheDowJonesaverageduringthemonthwhenBlackMonday
occurred?:f(5)
11.TheunemploymentrateinPolandforthetimeperiodfrom1990to2012is
showninthegraphbelowusingthefunctionU(t)(measuredasaper-centage),
wheretistheyear.Forexample,U(1990)istheunemploymentratefortheyear
1990.Whatcanbeconcludedbasedonthisgraph?:Thelargesttwo-yearincrease
inunemploymentwasfrom1990to1992.
12.ThegraphofthefunctionCbelowrepresentsthenumberofcoalminersinthe
UnitedStatesfrom1985to2015.C(y)representsthenumberofcoalminersin
theUnitedStatesintheyeary.Forexample,C(1985)showstherewere170,000
coalminersintheUnitedStatesin1985.WhichinterpretationofthefunctionC
isaccurate?:C(2000)represents70,000coalminersin2000.