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1、Linearinequalitywordproblems1.Thefollowingfunctiongivestheamountofmoneyowedonashorttermloanaftertweeks.A(t)=100⋅1.2512Whichnumericalexpressionbestapproximatestheannualinterestrate,excludinganylatefees?(1year=52weeks.)A.1-0.2526B.0.2526-1C.26·0.25D.26·1
2、.25Correctanswer:BDifficultylevel:22.Therabbitpopulationinanisolatedforestrisesandfallsdependingonthepopulationofpredators.Withintheyear2014,thepopulation,p,inthousandsofrabbitsmmmmonthsafterJanuary1,2014is:p=0.05(m−1.5)(m−8.5)+10Thepopulationreachedte
3、nthousandsometimeinFebruary.Atwhatothertime,givenasmonthsafterJanuary1,2014,didtherabbitpopulationreachtenthousand?Correctanswer:8.5Difficultylevel:23.The"hangtime"ofafootballistheamountoftimethefootballstaysintheairafterbeingkicked.Theheight,inmeters,
4、ofthefootballabovethegroundattimetcanbemodeledbythequadraticfunction:ht=-4.9t2+19.6tWhichofthefollowingequivalentexpressionsdisplaysthehangtimeofthefootballasaconstantorcoefficient?A.-4.9(t-2)2+19.6B.-4.9t(t-4)C.-4.9t-32-9.8t+44.1D.-4.9t-12+9.8t+4.9Cor
5、rectanswer:BDifficultylevel:24.Kaiathrowsastoneverticallyupwardfromabridge.Theheight,inmeters,ofthestoneabovethewaterattimetcanbemodeledbythequadraticfunction:h(t)=-4.9t2+9.8t+39.2Afterhowmanysecondsdoesthestonehitthewater?A.1secondB.2secondsC.4seconds
6、D.8secondsCorrectanswer:CDifficultylevel:21.Morethan450studentstraveledtoastateparkforafieldtrip.Theschoolallowed6studentstotravelbycar,andtheresttraveledon11buses,eachofwhichheldthesamenumberofstudents.Ifthereweresstudentsineachbus,whichinequalitybest
7、representsthissituation?A.11s+6>450B.11s+6<450C.6s+11>450D.6s+11<450Correctanswer:ADifficultylevel:22.Abarbercharges$12forahaircut.Hisoperatingexpensesare,onaverage,$37perday.Hecalculateshisprofitbysubtractinghisoperatingcostsfromthemoneyheearnsfromthe
8、haircutshegives.Inagivenday,thebarberexpectstomakeaprofitofatleast$86.Ifthebarbergiveshhaircutsinaday,whichinequalitybestmodelsthissituation?A.12h-37≥86B.12(h-37)≥86C.12h+37≥86D.12(h+37)≥86Correctanswer:ADifficultylevel:23.Adistributors