LEVEL21.Vendorsatacraftfairpay$45torentatablefortheday.Benjaminrentsatableatthecraftfairandsells8ouncejarsofjamfor$7.95perjar.IfitcostsBenjamin$2.75tomakeeachcontainerofjam,whichofthefollowingequationsbestmodelshisprofit,p,fromonedayatthecraftfairifhesellsnjarsofjam?A.p=5.20nB.p=7.95nC.p=5.20n-45D.p=7.95n-45Correctanswer:C2.Johnmanufactureshouseholdfurniture.Hisstart-upcosts,includingtools,plans,andadvertising,total$5000.Laborandmaterialsforeachpieceoffurnituretotal$350,andhisproductioncostsarethesumofhisstart-upcostsplusthecostoflaborandmaterials.IfJohnmakesfpiecesoffurniture,whatwillbehisproductioncosts,c,indollars?A.f=350c+5000B.c=350f+5000C.f=5000c+350D.c=5000f+350Correctanswer:B3.Thenumberofproblemsassignedashomeworkbyasavvymathprofessorisafunctionofthelengthoftheclassonaparticularday,whichiseither45minutes,90minutes,or135minutes.Hefirstmultipliesthenumberofminutesby4andthendividesthatnumberby9.Finally,hesubtracts12fromthatamount.Whichofthefollowingfunctionsbestrepresentsthenumberofmathproblemstheprofessorassignsdependingonthelengthoftheclass,t,inminutes?A.f(t)=94t−12B.f(t)=94(t−12)C.f(t)=12−94tD.f(t)=12+94tCorrectanswer:A4.Imani'sgrandmother'shouseis5mileswestofherownhousedownMainStreet.Whileathergrandmother's,ImanidecidestorideherbikefartherwestdownMainStreetat10milesperhour.Whichequationbestdescribesthedistance,d,inmiles,Imaniisfromhomeafterthours?A.d=5+10tB.d=5−10tC.d=5t+10D.d=5t−10Correctanswer:A5.Hirotospends$68one-booksandpaperbackbookscombined.Eache-bookhebuyscosts$5,andeachpaperbackbookhebuyscosts$12.IfHirotobuysxe-booksandypaperbackbooks,whichofthefollowingequationsbestmodelsthesituation?A.5x+12y=68B.12x+5y=68C.17(x+y)=68D.17xy=68Correctanswer:A6.Aconstructioncompany'sfeesincludeaflatdailychargetocometoaworksite,inadditiontoaconstanthourlyrate.Anyfractionalhoursarechargedatthatfractionofthehourlyrate.Additionally,ifajobtakeslessthan10hourstocomplete,itiscompletedinoneday.Accordingtotheserules,a3.5hourjobwouldcost$250andan8hourjobwouldcost$475....
