4. Linear inequality word problems[1].docxVIP免费

Linearinequalitywordproblems1.Thefollowingfunctiongivestheamountofmoneyowedonashorttermloanaftertweeks.A(t)=100⋅1.2512Whichnumericalexpressionbestapproximatestheannualinterestrate,excludinganylatefees?(1year=52weeks.)A.1−0.2526B.0.2526−1C.26·0.25D.26·1.25Correctanswer:BDifficultylevel:22.Therabbitpopulationinanisolatedforestrisesandfallsdependingonthepopulationofpredators.Withintheyear2014,thepopulation,p,inthousandsofrabbitsmmmmonthsafterJanuary1,2014is:p=0.05(m−1.5)(m−8.5)+10ThepopulationreachedtenthousandsometimeinFebruary.Atwhatothertime,givenasmonthsafterJanuary1,2014,didtherabbitpopulationreachtenthousand?Correctanswer:8.5Difficultylevel:23.The"hangtime"ofafootballistheamountoftimethefootballstaysintheairafterbeingkicked.Theheight,inmeters,ofthefootballabovethegroundattimetcanbemodeledbythequadraticfunction:h(t)=−4.9t2+19.6tWhichofthefollowingequivalentexpressionsdisplaysthehangtimeofthefootballasaconstantorcoefficient?A.−4.9(t−2)2+19.6B.−4.9t(t−4)C.−4.9(t−3)2−9.8t+44.1D.−4.9(t−1)2+9.8t+4.9Correctanswer:BDifficultylevel:24.Kaiathrowsastoneverticallyupwardfromabridge.Theheight,inmeters,ofthestoneabovethewaterattimetcanbemodeledbythequadraticfunction:h(t)=−4.9t2+9.8t+39.2Afterhowmanysecondsdoesthestonehitthewater?A.1secondB.2secondsC.4secondsD.8secondsCorrectanswer:CDifficultylevel:25.Morethan450studentstraveledtoastateparkforafieldtrip.Theschoolallowed6studentstotravelbycar,andtheresttraveledon11buses,eachofwhichheldthesamenumberofstudents.Ifthereweresstudentsineachbus,whichinequalitybestrepresentsthissituation?A.11s+6>450B.11s+6<450C.6s+11>450D.6s+11<450Correctanswer:ADifficultylevel:26.Abarbercharges$12forahaircut.Hisoperatingexpensesare,onaverage,$37perday.Hecalculateshisprofitbysubtractinghisoperatingcostsfromthemoneyheearnsfromthehaircutshegives.Inagivenday,thebarberexpectstomakeaprofitofatleast$86.Ifthebarbergiveshhaircutsinaday,whichinequalitybestmodelsthissituation?A.12h−37≥86B.12(h−37)≥86C.12h+37≥86D.12(h+37)≥86Correctanswer:...