WGU C957 APPLIED ALGEBRA OA EXAM 2024 | ACTUAL
REAL EXAM QUESTIONS AND ANSWERS WITH A
PRACTICE EXAM TEST BANK AND STUDY GUIDE |
VERIFIED AND ACCURATE FOR GUARANTEED PASS |
GRADED A | ALL LEARNING CHECKS INCLUDED
Thefollowinggraphshowstheprofitsofacompanyforthelastfiscal year.Approximatelyhow much
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ have the company's profits increased over the last year? - CORRECT ANSWER 30%
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
Black Mondayoccurred on October 19, 1987, and represents the single largest decline of the Dow Jones
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ average in history.The function f represents a seven-month period during which BlackMonday
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
occurred. Thefunctionvaluef(1)representstheDowJonesaverageinJuneof 1987. Which function
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ value represents the Dow Jones average during the month when Black Monday occurred?-
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ CORRECT ANSWER f(5) ‘ ‘
The unemployment rate in Poland for the time period from 1990 to 2012 is shown in the graph below
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ using the function U( t) (measured as a percentage), where t is the year. For example, U(1990) is the
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ unemployment rate for the year 1990. What can be concluded based on this graph? - CORRECT ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ ANSWERThelargesttwo-yearincreaseinunemploymentwasfrom1990 to 1992. ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
The graph of the function C below represents the number of coal miners in the United States from 1985 to
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ 2015.C( y) represents the number of coal miners in the United States in the year y. Forexample,C(1985)
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
showstherewere170,000 coalminersintheUnitedStatesin1985.Which interpretation of the function C
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ is accurate? - CORRECT ANSWER C(2000) represents 70,000 coal miners in 2000.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
Thefollowingtablecomparesthenumberofemployeeshired andthenumberofemployees dismissed
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ over an 11-year period for a certain business.
‘ ‘ ‘ ‘ ‘ ‘ ‘
,Year# Hired# ‘
‘ Dismissed200750102008201020093052010211720116030201270152013402020141552015206
20161022017107
‘
Whatcanbeconcludedfromthistable? - CORRECT ANSWERMoreemployees werehired than
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ dismissed each year. ‘ ‘
Acompanyhasthefollowinginformationonlastquarter'ssales(month7referstoJuly): MonthSales (in
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ thousands of dollars)730383289333 ‘ ‘
Whatwastheaveragerateofchangeovertheentirequarter(fromJulytoSeptember)? - CORRECT
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ ANSWER Sales increased an average of $15,000 per month. ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
AnITfirm generatesthefollowingnumberstoestimateitsrevenueinthousandsofdollarsbased on the
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ number of employees working on a project.‘ ‘ ‘ ‘ ‘ ‘
EmployeesRevenue(inthousands)10$12.4020$21.9930$30.7440$36.0150$38.43 ‘ ‘
Which conclusion can be made by examining the average rate of change between consecutive rows? -
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ CORRECT ANSWERTherevenueisincreasingatslowerandslowerratesinrelation to the number of ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ employees.
Anairplanewascruisingatanaltitudeof39,000feetanddescended asshowninthetablebelow. Descent
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ of Airplane
‘
Altitude of Airplane (ft.)Time (min.)39,000033,0001027,0002021,0003015,000409,000503,00060
‘ ‘ ‘ ‘
Whatcanbeconcludedfromthistable? - CORRECT ANSWERTheairplanehadadescent rate of 600
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ ft./min.
Thefunctiontablebelow showsacompany'srevenuefunction(R)and expensefunction(E)for each
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ month. In the second row, R(1) is the revenue total for January, and E(1) is the expense total for January.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
MonthlyRevenues and Expenses ‘ ‘ ‘
Month (m)Revenues R(m)Expenses E(m)1 (Jan.)$2,000$2,2002 (Feb.)$3,220$3,9573
‘ ‘ ‘ ‘ ‘
‘ (Mar.)$2,579$2,5044(Apr.)$4,100$1,6755(May)$5,328$2,1226 (June)$6,745$1,9907 ‘ ‘ ‘
,(July)$5,995$2,1118(Aug.)$10,200$3,1839(Sept.)$9,455$4,12910(Oct.)$12,337$92711 ‘ ‘ ‘
‘ (Nov.)$10,234$3,78612 (Dec.)$7,195$2,199 ‘
Whichconclusioncanbemadeaboutthisfunctiontable? - CORRECT ANSWERThehighest profit
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ occurred during October. ‘ ‘
heoriginalvalueof acompanycarboughtinJanuaryof2006 was$22,800. Belowis a function table that
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ tracks the value of the car V( y) as it depreciates.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
Depreciation of Company AutomobileYear (y)Value (V(y)) ‘ ‘ ‘ ‘ ‘
‘ 2006$22,8002007$18,2402008$15,5042009$13,1782010$11,2012011$9,5212012$8,0932013$6,
8792014$5,8472015$4,970
V(2007) = $18,240 is the value of the car from January to December of 2007. Which other conclusion
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
canbereachedfromthistable? - CORRECT ANSWERV( y) decreasesthemost from 2006 to 2007.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
Thesalvageordepreciatedvalue,V, of anewtruckpurchasedfor$58,000 isgiven bythelinear function
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ V( t) = 58,000 - 4,000 t, where t is the time in years between 0 and 10. What is the correct interpretation of
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ V(3)? - CORRECT ANSWER The truck's depreciated value after 3 years is $46,000.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
In the function C( x) = 21.25 + 0.25 x, C( x) represents the total cost, in dollars, for a passenger toridea
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
shuttleserviceforx miles.Whatisthetotalcostforapassengerto ridetheshuttlefor50 miles? -
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ CORRECT ANSWER $33.75 ‘ ‘
Acompany's totalmonthlycostis givenbythe linearfunctionC(x) =11,000 +550 x , whereC is the total
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ monthly cost and x is the number of units produced each month. The graph of the function isgiven
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ below: What does the y-intercept represent in this situation? - CORRECT ANSWER If 0 items are
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ produced, the monthly cost is $11,000.00. ‘ ‘ ‘ ‘ ‘
A cable company, a satellite dish company, and a streaming service all offer TV viewing plans basedon
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
thenumberofchannels,c,ontheplan.Thepriceofeachplanis givenbelow:Cable:P(
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
, c)=3c +60Satellite dish:P( c)=4 c +35Streamingservice:P(c) =5 c + 50Whichcompany's cost per
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ additional channel is most expensive? - CORRECT ANSWER Streaming service ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
The number of gym memberships since January 1, 2015, for a particular gym is given by the function N(
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ x) = 100 + 11 x, where N is the number of gym members x months after January 1, 2015.Howcantheslope
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
beinterpreted? - CORRECT ANSWEREachmonth,11membersjoin the gym.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
Thepricingmodelsoffourcontractorsaregivenbelow,wheretisthenumberofhoursworked and P is the
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ total cost of the job. Contractor A: P( t) = 100 + 20 tContractor B: P( t) = 99 + 25 tContractor C: P( t) = 50 +
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ 35 tContractor D: P( t) = 80 + 25 t Which contractor gives the cheapest hourly rate? - CORRECT
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ ANSWER Contractor A ‘ ‘
Anappliancemanufacturerhasdeterminedthattheprofit,P(x),thatitmakesinmanufacturing and
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ selling x dishwashers can be determined from the function in the graph below. How many dishwashers
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ must the company manufacture and sell in order to make a profit of $80,000? - CORRECT ANSWER
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ 130
The profit function P( x) gives a company's total profit (in millions of U.S. dollars) for x products
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ produced (in thousands). The graph of P( x) isbelow: At which number of products produceddoesthe
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
companystopbeingprofitable? - CORRECT ANSWERAbout4,500items Alocalbusinessis
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
lookingtobecomeafranchise.Thecompanywantstopredictthenumberof franchises, F, given a
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
certain numberof years, Y. This prediction ismodeled bythe function F( Y). What can be concluded by
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
F(5) =10? - CORRECT ANSWER In 5 years, there will be 10 open stores.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
A bank begins a marketing campaign to increase its number of customers. Each month, all new
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ customers are put into a drawing. One customer then receives a $50 credit in a checking account.The ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ amount of money given away in the drawing, G, is a function of the number of months,M,thedrawing
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
hasbeen goingonfor.Whatisthecorrectfunction notationtorepresent
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
REAL EXAM QUESTIONS AND ANSWERS WITH A
PRACTICE EXAM TEST BANK AND STUDY GUIDE |
VERIFIED AND ACCURATE FOR GUARANTEED PASS |
GRADED A | ALL LEARNING CHECKS INCLUDED
Thefollowinggraphshowstheprofitsofacompanyforthelastfiscal year.Approximatelyhow much
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ have the company's profits increased over the last year? - CORRECT ANSWER 30%
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
Black Mondayoccurred on October 19, 1987, and represents the single largest decline of the Dow Jones
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ average in history.The function f represents a seven-month period during which BlackMonday
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
occurred. Thefunctionvaluef(1)representstheDowJonesaverageinJuneof 1987. Which function
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ value represents the Dow Jones average during the month when Black Monday occurred?-
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ CORRECT ANSWER f(5) ‘ ‘
The unemployment rate in Poland for the time period from 1990 to 2012 is shown in the graph below
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ using the function U( t) (measured as a percentage), where t is the year. For example, U(1990) is the
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ unemployment rate for the year 1990. What can be concluded based on this graph? - CORRECT ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ ANSWERThelargesttwo-yearincreaseinunemploymentwasfrom1990 to 1992. ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
The graph of the function C below represents the number of coal miners in the United States from 1985 to
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ 2015.C( y) represents the number of coal miners in the United States in the year y. Forexample,C(1985)
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
showstherewere170,000 coalminersintheUnitedStatesin1985.Which interpretation of the function C
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ is accurate? - CORRECT ANSWER C(2000) represents 70,000 coal miners in 2000.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
Thefollowingtablecomparesthenumberofemployeeshired andthenumberofemployees dismissed
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ over an 11-year period for a certain business.
‘ ‘ ‘ ‘ ‘ ‘ ‘
,Year# Hired# ‘
‘ Dismissed200750102008201020093052010211720116030201270152013402020141552015206
20161022017107
‘
Whatcanbeconcludedfromthistable? - CORRECT ANSWERMoreemployees werehired than
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ dismissed each year. ‘ ‘
Acompanyhasthefollowinginformationonlastquarter'ssales(month7referstoJuly): MonthSales (in
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ thousands of dollars)730383289333 ‘ ‘
Whatwastheaveragerateofchangeovertheentirequarter(fromJulytoSeptember)? - CORRECT
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ ANSWER Sales increased an average of $15,000 per month. ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
AnITfirm generatesthefollowingnumberstoestimateitsrevenueinthousandsofdollarsbased on the
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ number of employees working on a project.‘ ‘ ‘ ‘ ‘ ‘
EmployeesRevenue(inthousands)10$12.4020$21.9930$30.7440$36.0150$38.43 ‘ ‘
Which conclusion can be made by examining the average rate of change between consecutive rows? -
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ CORRECT ANSWERTherevenueisincreasingatslowerandslowerratesinrelation to the number of ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ employees.
Anairplanewascruisingatanaltitudeof39,000feetanddescended asshowninthetablebelow. Descent
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ of Airplane
‘
Altitude of Airplane (ft.)Time (min.)39,000033,0001027,0002021,0003015,000409,000503,00060
‘ ‘ ‘ ‘
Whatcanbeconcludedfromthistable? - CORRECT ANSWERTheairplanehadadescent rate of 600
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ ft./min.
Thefunctiontablebelow showsacompany'srevenuefunction(R)and expensefunction(E)for each
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ month. In the second row, R(1) is the revenue total for January, and E(1) is the expense total for January.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
MonthlyRevenues and Expenses ‘ ‘ ‘
Month (m)Revenues R(m)Expenses E(m)1 (Jan.)$2,000$2,2002 (Feb.)$3,220$3,9573
‘ ‘ ‘ ‘ ‘
‘ (Mar.)$2,579$2,5044(Apr.)$4,100$1,6755(May)$5,328$2,1226 (June)$6,745$1,9907 ‘ ‘ ‘
,(July)$5,995$2,1118(Aug.)$10,200$3,1839(Sept.)$9,455$4,12910(Oct.)$12,337$92711 ‘ ‘ ‘
‘ (Nov.)$10,234$3,78612 (Dec.)$7,195$2,199 ‘
Whichconclusioncanbemadeaboutthisfunctiontable? - CORRECT ANSWERThehighest profit
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ occurred during October. ‘ ‘
heoriginalvalueof acompanycarboughtinJanuaryof2006 was$22,800. Belowis a function table that
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ tracks the value of the car V( y) as it depreciates.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
Depreciation of Company AutomobileYear (y)Value (V(y)) ‘ ‘ ‘ ‘ ‘
‘ 2006$22,8002007$18,2402008$15,5042009$13,1782010$11,2012011$9,5212012$8,0932013$6,
8792014$5,8472015$4,970
V(2007) = $18,240 is the value of the car from January to December of 2007. Which other conclusion
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
canbereachedfromthistable? - CORRECT ANSWERV( y) decreasesthemost from 2006 to 2007.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
Thesalvageordepreciatedvalue,V, of anewtruckpurchasedfor$58,000 isgiven bythelinear function
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ V( t) = 58,000 - 4,000 t, where t is the time in years between 0 and 10. What is the correct interpretation of
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ V(3)? - CORRECT ANSWER The truck's depreciated value after 3 years is $46,000.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
In the function C( x) = 21.25 + 0.25 x, C( x) represents the total cost, in dollars, for a passenger toridea
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
shuttleserviceforx miles.Whatisthetotalcostforapassengerto ridetheshuttlefor50 miles? -
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ CORRECT ANSWER $33.75 ‘ ‘
Acompany's totalmonthlycostis givenbythe linearfunctionC(x) =11,000 +550 x , whereC is the total
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ monthly cost and x is the number of units produced each month. The graph of the function isgiven
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ below: What does the y-intercept represent in this situation? - CORRECT ANSWER If 0 items are
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ produced, the monthly cost is $11,000.00. ‘ ‘ ‘ ‘ ‘
A cable company, a satellite dish company, and a streaming service all offer TV viewing plans basedon
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
thenumberofchannels,c,ontheplan.Thepriceofeachplanis givenbelow:Cable:P(
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
, c)=3c +60Satellite dish:P( c)=4 c +35Streamingservice:P(c) =5 c + 50Whichcompany's cost per
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ additional channel is most expensive? - CORRECT ANSWER Streaming service ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
The number of gym memberships since January 1, 2015, for a particular gym is given by the function N(
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ x) = 100 + 11 x, where N is the number of gym members x months after January 1, 2015.Howcantheslope
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
beinterpreted? - CORRECT ANSWEREachmonth,11membersjoin the gym.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
Thepricingmodelsoffourcontractorsaregivenbelow,wheretisthenumberofhoursworked and P is the
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ total cost of the job. Contractor A: P( t) = 100 + 20 tContractor B: P( t) = 99 + 25 tContractor C: P( t) = 50 +
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ 35 tContractor D: P( t) = 80 + 25 t Which contractor gives the cheapest hourly rate? - CORRECT
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ ANSWER Contractor A ‘ ‘
Anappliancemanufacturerhasdeterminedthattheprofit,P(x),thatitmakesinmanufacturing and
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ selling x dishwashers can be determined from the function in the graph below. How many dishwashers
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ must the company manufacture and sell in order to make a profit of $80,000? - CORRECT ANSWER
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ 130
The profit function P( x) gives a company's total profit (in millions of U.S. dollars) for x products
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ produced (in thousands). The graph of P( x) isbelow: At which number of products produceddoesthe
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
companystopbeingprofitable? - CORRECT ANSWERAbout4,500items Alocalbusinessis
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
lookingtobecomeafranchise.Thecompanywantstopredictthenumberof franchises, F, given a
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
certain numberof years, Y. This prediction ismodeled bythe function F( Y). What can be concluded by
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
F(5) =10? - CORRECT ANSWER In 5 years, there will be 10 open stores.
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
A bank begins a marketing campaign to increase its number of customers. Each month, all new
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ customers are put into a drawing. One customer then receives a $50 credit in a checking account.The ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
‘ amount of money given away in the drawing, G, is a function of the number of months,M,thedrawing
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
hasbeen goingonfor.Whatisthecorrectfunction notationtorepresent
‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘
