2.-Interpreting-linear-functions

PartIIInterpretinglinearfunctions1.Theexpression1.08s+1.02bpredicttheendofyearvalueofafinancialportfoliowheresisthevalueofstocksandbisthevalueofbondsintheportfolioatthebeginningoftheyear.Whatisthepredictedend-of-yearvalueofaportfoliothatbeginstheyearwith$200inthestocksand$100inbonds?$Correctanswer:318Difficultylevel:1Tag:Datacollectionandconclusions2.Thegraphaboveshowstheresultsofacontrolledexperimentdesignedbyascientisttodeterminetheeffectofmagneticfieldstrengthonthegrowthofsunflowerplants.500youngsunflowerplantswererandomlyassignedtothecontrolorexperimentalgroup.Inthecontrolgroup,thescientistgrew250sunflowerplantsundernormallocalgeo-magneticfieldconditions(30microteslas).Intheexperimentalgroup,thescientistgrew250sunflowerplantsidenticallyexceptunderalowergeomagneticfield(20microteslas).Basedontheresultsofthisexperiment,whichconclusionisNOTvalid?A.Sunflowerplantsgrownunderlowermagneticfieldconditionsweremorelikelytoweighmorethansunflowerplantsgrownundernormalmagneticfieldconditions.B.Thereisevidenceofanassociationbetweenthestrengthofmagneticfieldandheightinsunflowerplants.C.Sunflowerplantsgrownunderlowermagneticfieldconditionsweremorelikelytobetallerthansunflowerplantsgrownundernormalmagneticfieldconditions.D.Membersofthecontrolgroupweremorelikelytogrowtolessthan100inchesthanmembersoftheexperimentalgroup.Correctanswer:ADifficultylevel:2Tag:Datacollectionandconclusions3.AresearcherwantstoconductasurveytogaugeUnitedStates(U.S.)voters’opinionsabouttheU.S.Congress.WhichofthefollowingshouldNOTbeacomponentofthissurvey?A.Theresearchercollectsdatafromthesurveytakers.B.Theresearcheranalyzeddatafromthesurveytakers.C.Theresearcherdistributesthesurveyto10,1000randomlyselectedU.S.citizensaged18andolder.D.Theresearcherdistributesthesurveyto10,000residentsofaWashingtonD.C.neighborhood.Correctanswer:DDifficultylevel:2Tag:Datacollectionandconclusions4.Ascientistwantstocollectdataabouttheeffectsofgravityonthegrowthofsoybeanplants.Totestherhypothesisthatsoybeansgrowbetterinazero-gravitysetting,sherandomlyassignstheplantsintooneoftwogroups.Thefirstgroupisgrownintypicalsoybeangrowingconditionsinagreenhouseonearth,andthesecondgroupisgrowninazero-gravity,yetotherwiseidenticalgreenhouseinaspacestation.Whichofthefollowingisthebestdescriptionoftheresearchdesignforthisstudy?A.ControlledexperimentB.ObservationalstudyC.SamplesurveyD.NoneoftheaboveCorrectanswer:ADifficultylevel:2Tag:Datacollectionandconclusions5.Aresearcherrepresentingacitygovernmentwantstomeasurepublicopinionaboutrecyclingbyasking1,000randomlyselectedresidentsaseriesofquestionsonthesubject.Whichofthefollowingisthebestdescriptionoftheresearchdesignforthisstudy?A.ObservationalstudyB.SamplesurveyC.ControlledexperimentD.NoneoftheaboveCorrectanswer:BDifficultylevel:2Tag:Datacollectionandconclusions6.Inordertodeterminewhetherchildrenwhohavejustwatchedcartoonswillperformbetteroncognitivetasksthanchildrenwhohavenotjustwatchedcartoons,researchersrandomlydivided60preschoolersintothreegroups.Fornineminutes,onegroupwatchedarapid-pacedcartoon,onegroupwatchedaslower-pacededucationalprogram,andonegroupcolored.Theythenadministeredstandardizedteststodeterminetheimmediateimpactofthechildren’spreviousnineminutesofactivity.Whichofthefollowingisthebestdescriptionofthistypeofresearchdesign?A.Anobservationalstudy,astudyinwhichinvestigatorsobservesubjectsandmeasurevariablesofinterestwithoutassigningtreatmentstothesubjects.B.Acontrolledexperiment,astudyinwhichaninvestigatorseparatessubjectsintoacontrolgroupthatdoesnotreceiveatreatmentandanexperimentalgroupthatreceivesatreatment,andthenobservestheeffectofthetreatmentontheexperimentalgroup.C.Asamplesurvey,astudythatobtainsdatafromasubsetofapopulation,usuallythroughaquestionnaireorinterview,inordertoestimatepopulationattributes.D.NoneoftheaboveCorrectanswer:BDifficultylevel:2Tag:Datacollectionandconclusions7.AplayeratpointApassesaballtoaplayeratpointB.Whatisthedistance,inyards,betweenpointAandpointB?(Roundyouranswertothenearesttenthofayard.)Correctanswer:45.5Difficultylevel:2Tag:Righttrianglewordproblems8.Wanahton’srectangularbakingsheetis9𝟏𝟐inches(in)by13in.Tothenearestinch,whatisthelongestbreadstickWanahtoncouldbakeonhisbakingsheet?A.13inB.16inC.124inD.259inCorrectanswer:BDifficultylevel:2Tag:Righttrianglewordproblems9.Duetoweather,abargecaptaindecidestoreachherdestinationintwolegs:oneduenorthandoneduewest.Onadirectroute,herdestinationisabout1,830miles(mi)away;seethefigureabove.Ifaftertraveling605miduenorththecaptaindeterminesitistimetoheadduewest,howmanymoremilesareleftinthetrip?(Roundyouranswertothenearestmile.)Correctanswer:1727Difficultylevel:2Tag:Righttrianglewordproblems10.AbbyisbuyingawidescreenTVthatshewillhangonthewallbetweentwowindows.Thewindowsare36inchesapart,andwidescreenTVsareapproximatelytwiceaswideastheyaretall.Ofthefollowing,whichisthelongestthatthediagonalofawidescreenTVcanmeasureandstillfitbetweenthewindows?A.32inchesB.42inchesC.55inchesD.60inchesCorrectanswer:ADifficultylevel:2Tag:Righttrianglewordproblems1811.Bilalwasass