SAT数学练习15.docx
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SAT数学练习15.docx
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SAT数学练习15
1.Thegraphatleftinthe sm-planeapproximatestheaveragemileage, mm,inmilespergallon,thatDeniz'spickuptruckgetswhenshedrivesataspeedof s milesperhour.Whatisthebestinterpretationofthemaximumpointonthegraph?
A.Deniz'struckgetsamaximummileageof 18 milespergallon.
B.Deniz'struckgetsamaximummileageof 55 milespergallon.
C.Deniz'struckcandriveatamaximumspeedof 18 milesperhour.
D.Deniz'struckcandriveatamaximumspeedof 55 milesperhour.
2.Alaptopbatterygainscellvoltageasitcharges.Thebatteryinitiallychargesquickly,thengraduallyslowsasitapproachesitsmaximumcharge.Whichofthefollowinggraphsinthe tv-planecouldrepresentthetotalcellvoltage, v,inalaptopbatteryafter t minutesofchargingtime?
A.
B.
C.
D.
3.Thegraphatleftinthe yI-planeshowstheinterestratepercentage, I,onecanexpectforasavingsaccountlasting y yearsuptoamaximumof10 years.Accountslastingforlessthan 1 yearareshort-livedandaccountslastingformorethan 5 yearsarelong-lived.Whatisthesignificanceofthe I-intercept?
A.Short-livedaccountshavetheminimuminterestrateof 6percent.
B.Long-livedaccountshavetheminimuminterestrateof 6percent.
C.Long-livedaccountshavethemaximuminterestrateof 11percent.
D.Theaverageincreaseininterestratesis 0.5 percentperyear.
4.Thegraphatleftinthe th-planeshowsBrayden'sheight, h,ininchesabovetheground, t secondsafterhejumps.Whatisthebestinterpretationofthe t-interceptsofthegraph?
A.Braydenjumped 0.6 feetintotheair.
B.Braydenjumped 0.6 timespersecond.
C.Braydenremainedintheairfor 0.6 seconds.
D.Braydenreachedthepeakofhisjumpafter 0.6 seconds.
5.Thegraphatleftinthe th-planeshowsthefunctionusedtomodeltheheight, h,infeetofthetopofapooltoyabovethesurfaceofthewater tsecondsafterthetoyhasbeenthrowntowardthewater'ssurface.Howmanysecondsafterthetoyhadbeenthrowndidthepooltoyresurface?
A.0.1 seconds
B.0.6 seconds
C.1.1 seconds
D.5 seconds
6.Thegraphatleftinthe th-planerepresentstheheight, h,infeetabovetheground,ofabaseball t secondsafterManonhasthrownit.Whichofthefollowingisthebestinterpretationoftheportionofthegraphbelowthe t-axis?
A.ItrepresentstheheightsbeforeManonthrewtheball.
B.Itrepresentsdistancesofthebaseballbelowtheground.
C.Itisirrelevant,becausetheballwillnotcontinuedescendingbelowtheground.
D.Itisirrelevant,becausetheheightsdidnotfollowthesamepatternbeforeManonthrewtheball.
7.Thegraphatleftinthe EH-planeshowshowmixing 3 millilitersofethanolandwateratdifferentconcentrationscanreleasedifferentamountsofheat,where E isthepercentconcentrationofethanoland Histheamountofheatreleasedinjoules(J).Tothenearest 5 J,whatisthelargestamountofheatthatcanbereleasedwith 3 millilitersofethanolandwater?
Sampleanswerslist:
aninteger,like6
asimplifiedfractionnumber,like3/5
asimplifiedimproperfraction,like7/4
anexactdecimal,like0.75
8.Thegraphatleftshowstheantibodyproduction, a,innumberofantibodiesperhour h hoursaftertheintroductionofavaccine.Whatisthemaximumnumberofantibodiesproducedperhour?
Sampleanswerslist:
aninteger,like6
asimplifiedfractionnumber,like3/5
asimplifiedimproperfraction,like7/4
anexactdecimal,like0.75
9.Durudrivesfromhometoworkinthemorning.Afterseveralhoursatwork,shedrivestothesupermarket,buysgroceries,thengoeshome.Thegraphatleftinthe hd-planerepresentsDuru'sdistance, d,fromhomeinmiles, h hoursaftermidnight.Whichofthefollowingisthebestinterpretationofthemaximumonthisgraph?
A.Durudrives 35 milesperhourtowork.
B.Duru'sworkplaceis 35 milesfromherhome.
C.Thesupermarketis 35 milesfromDuru'shome.
D.Durudrives 35 milesperhourbetweenherworkplaceandthesupermarket.
10.Theplotatleftinthe yD-planeshowsthedepth, D,inmetersofavolcaniclakeexactly y yearsafterthedateoffirstrecording.Whatisthesignificanceofthepointplottedonthe D-axis?
A.Themostrecentlyrecordeddepthis 175 m.
B.Thedepthofthelakeisapproximatelydecreasing.
C.Themaximumrecordeddepthoccurredonthefirstrecording.
D.Thevolcaniclakedisappears 225 yearsafterfirstrecordingitsdepth.
11.Thegraphatleftinthe tM-planeshowstheresultsofanuclearphysicistwhocalculatedthemassofamaterialproducedinafastradioactivedecayasthematerialundergoesaslowradioactivedecayatthesametime. M isthemassofthematerialinmicrograms(μg)and t isthetimeinhourssincethematerialwascreated.Whatisthesignificanceofthepointshownonthegraph?
A.Thepointshowsthemassofmaterialatthebeginningoftheexperiment.
B.Thepointshowsthemassofmaterialwhentherateofincreasingmasswasatitsgreatest.
C.Thepointshowstheamountoftimeelapsedsincethebeginningofthedecaytotheendofthedecay.
D.Thepointshowsthemaximummassattainedandthetimewhenthismaximumwasattainedsincethematerialwascreated.
12.Thegraphatleftinthe RI-planeshowsthecurrent, I,inamperesforacircuitwitharesistorhaving R ohmsofresistance.Whatisthesignificanceofthevalue I=4 shownbythedottedline?
A.Thecurrentforaresistorwith 0 ohmsofresistanceis 4amperes.
B.Thecurrentreachesaminimumwhentheresistorhasaresistanceof 4 ohms.
C.Asthecurrentbecomeslarge,theresistancebecomesapproximately 4 ohms.
D.Astheresistancebecomeslarge,thecurrentbecomesapproximately 4 amperes.
13.Laxmanrecentlystartedarestaurant32weeksago.Thetableatleftshowsthenumberofcustomers,C,duringthe
week.WhichofthefollowingcorrectlyexplainsthegrowthofCwithrespectto
?
A.Thenumberofcustomersperweekgrewlinearlybecausethenumberofcustomersperweekincreasedbyapproximately30everyweek.
B.Thenumberofcustomersperweekgrewlinearlybecausethenumberofcustomersperweekincreasedbyapproximately100everyweek.
C.Thenumberofcustomersperweekgrewexponentiallybecausethenumberofcustomersperweekincreasedbyapproximately30everyweek.
D.Thenumberofcustomersperweekgrewexponentiallybecausethenumberofcustomersperweekincreasedbyapproximately100everyweek.
14.
12grams(g)ofachemicalareaddedtoametal.Theamount,A,ingramsofthechemicalremainingduringareactionwithametalplate,decreaseby0.5geverysecond.Ifinsteadtheplateweredissolved,theamount,
ingramsofchemicalremaining,woulddecreasebyafactorof2everyfourseconds.HowmuchgreaterisAthan
ingramsafter12seconds?
15.
Anoldcomputerprogramwhichcomputerthe
Fibonaccinumbertakes0.05microseconds(
tocomputethe1stnumberandittakestwiceaslongtocomputeeachsuccessivenumber.Acomputerengineerdesignsanewprogramwhichtakes0.8
tocomputethe1stFibonaccinumber,andittakesanadditional0.6
moretocomputeeachsuccessivenumber.Howmuchlongerinmicrosecondsdoesittaketheoldprogramtocomputethe8thFibonaccinumbercomparedtothenewprogram?
A.0.8
B.1.4
C.7.2
D.7.8
16.
Theequationaboveapproximatestherelationshipwildlifeveterinariansfoundbetweentheamount,t,inmicrogramsperdeciliter(
ofcourse(astresshormone)inawildharborseal’steartotheamount,s,in
ofcortisolintheseal’sserum.Whichofthefollowingstatementsbestdescribestherelationshipbetweentheamountofcortisolinaseal’stearsandserum(betweentands)?
A.Itislinearbecausethereisan11.5
increaseinsforevery0.1
increaseint.
B.Itislinearbecausethereisa32
increaseinsforevery0.1
increaseint.
C.Itisexponentialbecausethereisa15%increaseinsforevery0.01
increaseint.
D.Itisexponentialbecausethereisa220%increaseinsforevery0.01
increaseint.
17.
Theequationaboverelatestheurbanizationrate
asapercent,inaparticularcountrytothenumberofyears
since2000.Whichofthefollowingstatementsbestdescribestherelationshipbetweentheyearsince2000andtheurbanizationrate?
A.Itislinearbecausetheurbanizationrateincreasesby35.7eachyear.
B.Itislinearbecausetheurbanizationrateincreasesby1.37eachyear.
C.Itisexponentialbecausetheurbanizationrateincreasesby35.7%eachyear.
D.Itisexponentialbecausetheurbanizationrateincreasesbyafactorof35.7eachyear.
18.
Thecellcycleistheprocessbywhichasinglecellreplicatesitself.Amicrobiologistdebateswhethercellgrowthduringthecellcycleislinearorexponential.Thetableatleftgivesthelength,inmicrometers,ofanS.pombe(yeast)cellatdifferenttimesafterthecellcyclebegins.Whichofthefollowingbestdescribestherelationshipbetweentimeandlengthofthiscell?
A.Itislinearbecausethelengthincreasesbythesamefactorevery10minutes.
B.Itislinearbecausethelengthincreasesbythesamenumberevery10minutes.
C.Itisexponentialbecausethelengthincreasesbythesamefactorevery10minutes.
D.Itisexponentialbecausethelengthincreasesbythesamenumberevery10minutes.
19.
Aresearcherstudiedtheabilityofagelatinsampletoretainanelectricalcharge.Thefunctionaboveapproximatesthevoltage,involts,ofthesampletminutesafterithasbeencharged.Whichofthefollowingstatementsbestdescribestherelationshipbetweenthevoltageandthenumberofminutes?
A.Itislinea
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