PRE-ASSESSMENT: APPLIED ALGEBRA (FXO1) PFXO
Attemptg#1gStatu
s:gNotgPassed
g 1.
Aglocalgbusinessgisglookinggtogbecomegagfranchise.gThegcompanygwantsgtogpredictgthegnumbergofgfranchises,gF,ggiveng
ag certaingnumbergofgyears,gY.gThisgpredictiongisgmodeledgbygthegfunctiongF(gY).
WhatgcangbegconcludedgbygF(5)g=g10?
YOURg CORRECTgA
ANSWER NSWER
Everyg5gyears,g10gstoresgwillgbegopened.
Everyg10gyears,g5gstoresgwillgbegopened.
Ing5gyears,gtheregwillgbeg10gopengstores.
Ing10gyears,gtheregwillgbeg5gopengstores.
2.
Agbankgbeginsgagmarketinggcampaigngtogincreasegitsgnumbergofgcustomers.gEachgmonth,gallgnewgcustomersgaregput
gintogagdrawing.gOnegcustomergthengreceivesgag$50gcreditgingagcheckinggaccount.
Thegamountgofgmoneyggivengawaygingthegdrawing,gG,gisgagfunctiongofgthegnumbergofgmonths,gM,gthegdrawingghasgbee
nggoinggongfor.
Whatgisgthegcorrectgfunctiongnotationgtogrepresentgthegamountgofgmoneyggivengawaygaftergthegdrawingghasgbeenggoi
nggongforg5gmonths?
YOURg CORRECTgANSWE
ANSWER R
G(5)g=g250
G(250)g=g5
G(5)g=g10
G(10)g=g5
g 3.
Thegvolumegofgcalls,gV(gh),gatgagparticulargcustomergservicegcentergcangbegwrittengasgagfunctiongofgthegnumbergofghou
rsg aftergopeninggeachgday,gh.
Whatgwouldgthegorderedgpairg(6,8)grepresentgforgthisgfunction?
, YOURg CORRECTgA
ANSWER NSWER
Theregwereg8gcallsg6ghoursgaftergopening.
Theregwereg6gcallsg8ghoursgaftergopening.
Theregwereghgcallsg6ghoursgaftergopening.
Theregwereg8gcallsgVghoursgaftergopening.
g 4.
Agcompanyghasgdevelopedgtwogfunctions,gL(gt)gandg M(gt),gthatgdeterminegthegleastgamountgandgmost
amount,grespectively,gofgrevenuegitgwillgmakeginganyggivengmonthgingdollarsg(withgtg=g1gcorrespondinggtogJanuary).
gWhatgcangthegcompanygreasonablygconcludegifgL(2)g=g3,000gandg M(2)g=g5,000?
YOURg CORRECTgA
ANSWER NSWER
IngFebruary,gitgwillgmakeg$2,000.
IngFebruary,gitgwillgmakegbetweeng$3,000gandg$5,000.
ItgwillgmakegmoregmoneygingFebruarygifgitgusesgM(gt)ginsteadgofgL(gt).
Itgcannotgmakegmoregthang$3,000gingFebruarygbutgcangmakegupgtog$5,000gaftergFebruary.
g 5.
Agservergatgagrestaurantghasgrealizedgthatgtips,gT,gingdollarsgaregrelatedgtogthegnumbergofghours,gh,gthatghavegbeeng
workedgonganyggivengday.gTipsgcangbegmodeledgbygthegfunctiongT(gh)g=g X.
Howgcangthisgfunctiongbeginterpreted?
YOURg CORRECTgA
ANSWER NSWER
Ifgthegservergworksghghours,gthegtipsgwillgbeg$gX.
Ifgthegservergworksg Tghours,gthegtipsgwillgbeg$gh.
Ifgthegservergworksg hghours,gthegtipsgwillgbeg$gT(gX).
Ifgthegservergworksg Xghours,gthegtipsgwillgbeg$gT.
g 6.
Agcompanygpaysgitsgemployeesgagbasegsalarygeachgmonthgplusgagcommission,gC,gbasedgongthegnumbergofgsales,gs,gm
adeg bygangemployeegduringgthegmonth.gAngemployeegmadeg8gsalesgingtheglastgmonthgandgreceivedgagcommission
gofg$1,600.
,Howg wouldg thisg beg representedg ing functiong notation?
YOURg CORRECT
ANSWER gANSWE
R
C(8)g=g1600
C(1600)g=g8
s(8)g=g1600
s(1600)g=g8
7.
Belowgisgaggrowthggraphgofgagbusiness.gItgcomparesggrossggrowthgandgnetggrowth.
Whatgcangbegsaidgaboutgtheggrowthgbetweengthegyearsgofg2012gandg2014?
YOURg CORRECTgA
ANSWER NSWER
Bothggrossgandgnetggrowthgdecreased.
Bothggrossgandgnetggrowthgincreased.
Theggrossggrowthgincreasedgwhilegthegnetggrowthgdecreased.
, Theggrossggrowthgdecreasedgwhilegthegnetggrowthgincreased.
Attemptg#1gStatu
s:gNotgPassed
g 1.
Aglocalgbusinessgisglookinggtogbecomegagfranchise.gThegcompanygwantsgtogpredictgthegnumbergofgfranchises,gF,ggiveng
ag certaingnumbergofgyears,gY.gThisgpredictiongisgmodeledgbygthegfunctiongF(gY).
WhatgcangbegconcludedgbygF(5)g=g10?
YOURg CORRECTgA
ANSWER NSWER
Everyg5gyears,g10gstoresgwillgbegopened.
Everyg10gyears,g5gstoresgwillgbegopened.
Ing5gyears,gtheregwillgbeg10gopengstores.
Ing10gyears,gtheregwillgbeg5gopengstores.
2.
Agbankgbeginsgagmarketinggcampaigngtogincreasegitsgnumbergofgcustomers.gEachgmonth,gallgnewgcustomersgaregput
gintogagdrawing.gOnegcustomergthengreceivesgag$50gcreditgingagcheckinggaccount.
Thegamountgofgmoneyggivengawaygingthegdrawing,gG,gisgagfunctiongofgthegnumbergofgmonths,gM,gthegdrawingghasgbee
nggoinggongfor.
Whatgisgthegcorrectgfunctiongnotationgtogrepresentgthegamountgofgmoneyggivengawaygaftergthegdrawingghasgbeenggoi
nggongforg5gmonths?
YOURg CORRECTgANSWE
ANSWER R
G(5)g=g250
G(250)g=g5
G(5)g=g10
G(10)g=g5
g 3.
Thegvolumegofgcalls,gV(gh),gatgagparticulargcustomergservicegcentergcangbegwrittengasgagfunctiongofgthegnumbergofghou
rsg aftergopeninggeachgday,gh.
Whatgwouldgthegorderedgpairg(6,8)grepresentgforgthisgfunction?
, YOURg CORRECTgA
ANSWER NSWER
Theregwereg8gcallsg6ghoursgaftergopening.
Theregwereg6gcallsg8ghoursgaftergopening.
Theregwereghgcallsg6ghoursgaftergopening.
Theregwereg8gcallsgVghoursgaftergopening.
g 4.
Agcompanyghasgdevelopedgtwogfunctions,gL(gt)gandg M(gt),gthatgdeterminegthegleastgamountgandgmost
amount,grespectively,gofgrevenuegitgwillgmakeginganyggivengmonthgingdollarsg(withgtg=g1gcorrespondinggtogJanuary).
gWhatgcangthegcompanygreasonablygconcludegifgL(2)g=g3,000gandg M(2)g=g5,000?
YOURg CORRECTgA
ANSWER NSWER
IngFebruary,gitgwillgmakeg$2,000.
IngFebruary,gitgwillgmakegbetweeng$3,000gandg$5,000.
ItgwillgmakegmoregmoneygingFebruarygifgitgusesgM(gt)ginsteadgofgL(gt).
Itgcannotgmakegmoregthang$3,000gingFebruarygbutgcangmakegupgtog$5,000gaftergFebruary.
g 5.
Agservergatgagrestaurantghasgrealizedgthatgtips,gT,gingdollarsgaregrelatedgtogthegnumbergofghours,gh,gthatghavegbeeng
workedgonganyggivengday.gTipsgcangbegmodeledgbygthegfunctiongT(gh)g=g X.
Howgcangthisgfunctiongbeginterpreted?
YOURg CORRECTgA
ANSWER NSWER
Ifgthegservergworksghghours,gthegtipsgwillgbeg$gX.
Ifgthegservergworksg Tghours,gthegtipsgwillgbeg$gh.
Ifgthegservergworksg hghours,gthegtipsgwillgbeg$gT(gX).
Ifgthegservergworksg Xghours,gthegtipsgwillgbeg$gT.
g 6.
Agcompanygpaysgitsgemployeesgagbasegsalarygeachgmonthgplusgagcommission,gC,gbasedgongthegnumbergofgsales,gs,gm
adeg bygangemployeegduringgthegmonth.gAngemployeegmadeg8gsalesgingtheglastgmonthgandgreceivedgagcommission
gofg$1,600.
,Howg wouldg thisg beg representedg ing functiong notation?
YOURg CORRECT
ANSWER gANSWE
R
C(8)g=g1600
C(1600)g=g8
s(8)g=g1600
s(1600)g=g8
7.
Belowgisgaggrowthggraphgofgagbusiness.gItgcomparesggrossggrowthgandgnetggrowth.
Whatgcangbegsaidgaboutgtheggrowthgbetweengthegyearsgofg2012gandg2014?
YOURg CORRECTgA
ANSWER NSWER
Bothggrossgandgnetggrowthgdecreased.
Bothggrossgandgnetggrowthgincreased.
Theggrossggrowthgincreasedgwhilegthegnetggrowthgdecreased.
, Theggrossggrowthgdecreasedgwhilegthegnetggrowthgincreased.
