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Richard is an information technology manager responsible for upgrading the computer systems for his company. He wants to predict the price of a software package, P, given the number of computers, c, on which the package will be installed. What can be concluded by P(60) = 208? DI}, O The price will be $60 for 208 computers 0 Every $60 will allow Richard to install the software on 208 additional computers 0 Every $208 will allow Richard to install the software on 60 computers 0 The price will be $208 for 60 computers A tech support specialist takes 15 calls each hour. The total calls for the workday, c, is a function of the number of hours, h, worked that day. What is the correct function notation to represent the total number of calls after 4 hours of work? [L1, Q c(150) = 40 Q c(40) = 150 O c(4) = 60 0 C(15) = 4 The cost of bananas, C(b), at a certain store can be written as a function of the number of pounds of bananas, b, that you buy. What would the ordered pair (5, 2) represent for this function? [L1, 0 Buying 5 pounds of bananas costs 2 dollars 0 Buying 2 pounds of bananas costs 5 dollars 0 Buying 5 pounds of bananas costs C dollars 0 Buying b pounds of bananas costs 5 dollars Liam is trying to build an emergency fund. For planning purposes, he developed two functions, L(t) and M(t), that determine the least amount and most amount, respectively, of money (in dollars) in any given month contributed to the emergency fund (with t = 0 corresponding to April). What can he reasonably conclude if L(3) = 1,500 and W3) = 2,500? II}, 0 In July, he will have contributed between $1,500 and $2,500 to his emergency fund. 0 In July, he will have contributed $1,000 to his emergency fund. 0 He will contribute more money in July if he uses M(t) instead of L(t). 0 He cannot contribute more than $1,500 in July, but he can contribute up to $2,500 after July. Brianna determined that the amount of money she earns when babysitting, B, is related to the number of hours, h, that she babysits on a given day. The amount of money she earns on a certain day can be modeled by B(h) = M. How can this notation be interpreted? II), 0 If she babysits for h hours, she will earn $B(M). Q If she babysits for B hours, she will earn $h. Q If she babysits for h hours, she will earn $M. Q If she babysits for M hours, she will earn $B. The cost to mail a package is a flat fee plus an additional amount, E, based on the number of ounces, 2, the package weighs. Suppose you mailed a 300-ounce package and the additional amount after the at fee was $24. How would this be represented in function notation? E}, Q E(24) = 300 Q E(300) = 24 0 2(24) = 300 O 2(300) = 24 ER Below, the revenue and cost functions for a certain business are compared. + Revenue -0- Cost 2004 2005 2006 2007 zooazqos 2010 2011 What can be said about the cost and revenue between the years of 2006 and 2007? 0 Both increased. 0 Both decreased. 0 The cost increased while the revenue decreased. 0 The cost decreased while the revenue increased. 8 The graph below shows the growth of a bacteria culture in percentage. 3 2 1 0 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 -1 Real Bacteria Growth ..... Forcasted Bacteria Growth -2 What can be concluded from this graph? The real growth remained between 2% and 3% from 1996 to 1998. The forecasted growth predicts the growth will remain above 2% between 2003and 2004. The forecasted growth will remain between 2% and 3% from 2007to 2008. The real growth exceeded 3% at some point between 1996 and 2002.D3 The following graph shows the number of hours an employee worked each week for an 8-week period. 10 A historic snowfall occurred in 1994 in a certain city. The function f represents the average number of feet of snow for a given year. The function value f(1) represents the year 1989. Avg. Snowfall 9 8 7 6 5 A 2 1 Years Since 1988, 0 2 3 5 6 7 8 9 10 Which function value represents the year of the historic snowfall? Of(4 ) Of ( 5 ) Of(6 ) Of(7)11 The unemployment rate from 1996 to 2018 is shown below. U(1996) is the unemployment rate in percentage for the year 1996. Unemployment Rate 20 16 120 8 4 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 What can be concluded based on this graph? The two lowest unemployment rates were at U(2002) and U(2008) U(1996) was the same as U(2018) O The largest two-year increase was from 2002 to 2004. The largest two-year decrease was from 2014 to 2016.12 The following graph depicts the function, P(m), which models the profit (in thousands of dollars) of a certain social club, where m represents the number of members. For example, P(200) shows that there was a $1,000 profit when there were 200 members. Thousands of Dollars 7 6 5 4 3 2 1 0 100 200 300 400 500 600 Which interpretation of the function P is accurate? P(600) represents $600 profit when there were 7500 members. P(5000) represents a $5,000 profit when there were 437 members. P(400) represents a $4,000 profit when there were 400 members. P(100) represents a 0.4 profit when there were 100 members.Suppose that during a family road trip across the country, a passenger kept track of the number of red vehicles seen and the number of green vehicles seen every 100 miles. Number of Miles it Red Vehicles it Green Vehicles What can be concluded from this table? 0 More red vehicles were seen alter 100 and 200 miles than after 500 and 600 miles. 0 More green vehicls were seen after 500 and 600 miles man azer 100 and 200 miles. 0 More red vehicles were seen than gm" vehicles each 100 mils. 0 More green vehicles were seen than red vehicles each 100 miles. 14 Charles kept track of his internet speeds during different times of the day in the table below: Time Speed in Mbps 9:00am 125 11:00am 115 1:00pm 110 3:00pm 108 Based on the table, what was the average change between 11am and 3pm? 5 Mbps/hour O -5 Mbps/hour O 1.75 Mbps/hour -1.75 Mbps/hour 15 Charles kept track of his internet speeds during different times of the day in the table below:15 Charles kept track of his internet speeds during different times of the day in the table below: Time Speed in Mbps 9:00am 125 11:00am 115 1:00pm 110 3:00pm 108 The average change between 9am and 1pm is -3.75. What does this mean? Between 9am and 1pm the internet speed was decreasing on average by 3.75Mbps per hour. Between 9am and 1pm the internet speed was increasing on average by 3.75Mbps per hour. O Between 9am and 1pm the internet speed was decreasing on average by 2.83Mbps per hour. Between 9am and 1pm the internet speed was increasing on average by 2.83Mbps per hour.16 Charles is interested if his internet speed depends on the time of day, so he kept track of his internet speeds during different times of the day in the table below: Time Speed in Mbps 9:00am 125 11:00am 115 1:00pm 110 3:00pm 108 Which conclusion can be made by examining the average rate of change between consecutive rows? O The speed of the internet is decreasing steadily in relation to the time of day. O The speed of the internet is not decreasing in relation to the time of day. O The speed of the internet is decreasing at slower and slower rates in relation to the time of day. The speed of the internet is decreasing at faster and faster rates in relation to the time of day. 17 skydiver jum ved their p altitude of 5.000 feet17 A skydiver jumped from an airplane and deployed their parachute at an altitude of 5,000 feet. Their descent after deploying their parachute was recorded in the table below. Altitude (ft.) Time (seconds) 5000 0 4000 60 3000 120 2000 180 1000 240 What can be concluded from this table? The skydiver landed at 360 seconds. The skydiver had a descent rate of approximately 16.7 ft./sec. O The skydiver landed at 240 seconds. O The skydiver had a descent rate of approximately 1000 ft./sec. 18II}, Suppose that during the calendar year 2015, the world population was 7.4 billion and that 3.2 billion people used the internet. The function f(t), depicted in the following table, models the percent of the population that used the Internet, where t is the number of years since 1995. Years Since 1995 Percent of Worldwide Population Using function notation, which of the choices below shows the correct input and output pair that represents the percent of population as Internet users for the calendar year 2015? 0 Input is 20, and f(20) = 43.2 O Input is 20, and f(20) = 3.2 0 Input is 15, and f(15) = 28.9 0 Input is 2015, and 2015) = 43.2 19 Suppose that during a family road trip across the country, a passenger kept track of the number of red vehicles seen and the number of green vehicles seen every 100 miles. Number of Miles (m) # Red Vehicles R(m) # Green Vehicles G(m) 100 28 12 200 37 5 300 20 15 400 16 11 500 35 6 600 50 14 700 8 7 What can be concluded from this function table? O Since R(200) = 37 and G(200) = 5, there were more green vehicles than red vehicles between 101 and 200 miles travelled. O Since R(500) = 35 and G(500) = 6, there were not more red vehicles than green vehicles between 501 and 600 miles travelled. The difference between red cars and green cars was the greatest at 600 miles travelled. The difference between red cars and green cars was the least at 400 miles travelled.ED The value of a stock, m months after purchase, is given in the function table below. m _- - - _- _ - _ V(O) = $13.45 is the value of the stock in December of 2014. Which other conclusion can be reached from this table? 0 vazom) = May of 2015. O V(3) = $17.24 $13.45. 0 V(m) Increases by the same amount every month. 0 V(m) Increases the most from December 2014 he January 2015. The cost, C, to rent a bicycle is given by the linear function C(h) = 29 + 1.50h. In this function, h is the number of hours within a 24hour period for which the bicycle was rented. What is the correct interpretation of C(4)? ED, 0 Renting the bicycle for 4 hours will cost $30.50 0 Renting the bicycle for 4 hours will cost $35.00 0 Renting the blcyde for 6 hours wlll cost $33.50 0 Renting the blcyde for 6 hours will cost $32.00 A local water park found that the number of people in attendance per week can be represented by the function Al(p) = -750p + 11150, where p is the price of admission. What is the attendance for the week when the price of admission was $11? [Q 0 2,900 people 0 10,400 people 0 3,650 people 0 750 people 23 Use the following Information and graph to answer questions 23-25: A teenager's generous parents give them a monthly allowance, A, which depends on the number of chores the teenager has completed, c, that month. The graph of the function is shown below. A(c) 45 40 35 30 25 20 15 10 C 1 0 2 5 6 8 9 10 11 12 13 14 15 16 17 18 19 What does the slope of this function represent? The teenager will earn 5 dollars per chore completed. O The teenager will complete 3 chores per dollar received. The teenager will earn 2 dollars per chore completed. O The teenager will complete 1 chore per dollar received.24 What does the y-intercept represent? ? The teenager will receive 0 dollars if they complete 0 chores that month. O The teenager will receive 7 dollars if they complete 2 chores that month. The teenager will receive 0 dollars if they have 4 unfinished chores from last month. The teenager will receive 5 dollars if they complete 0 chores that month. 25 Which is the correct function for the graph? ? A(C) = 5+ 20 O A(C ) = 3 + c O A(C) = 7+ 20 A(C) = 4-50 26 with $200 dollars an has $3 800 after 12months. the26 If your bank account starts out with $200 dollars and has $3,800 after 12months, the function representing this growth is f(x) = 300x + 200. How much money is being added to the bank account per month on average? DO, $12 $200 $300 $3,800 27 Four different schools were reviewed to track their annual number of students since 2011. The number of students for each school is given below: School A: S(t) = 15t + 251 School B: S(t) = -76t + 2819 School C: S(t) = 12t + 612 School D: S(t) = -3t + 318 Which school has the highest number of students being added per year? [ O School A School B School C School D28 The function S(t) = 26 - 2t models the number of subscribers in thousands for a streaming service, t months after the start of 2014. How can the slope be interpreted? [ Each month, 2 subscribers cancel their subscription. Each month, 2,000 subscribers are added. O Each month, 2,000 subscribers cancel their subscription. Each month, 26,000 subscribers are added. 29 ABC Computers, Blazing PCs, and Casual Computing are competitors. The market shares, in percentage, since 2000 for each company is given below: ABC Computers: A(t) = 10 + 5t Blazing PCs: B(t) = 20 + 2.5t Casual Computing: C(t) = 15 + 7t Which company has the smallest increase in percentage of the market share per year? DO, ABC Computers O Blazing PCs Casual Computing All have the same increase in percentage of the market share per year.II}, A 4~second fuse was lit to set off a rework. The firework's height, in feet, is modeled by the function in the graph below. How should the average rate of change from t = 4 to t = 6 be interpreted? O The rework is, on average, climbing 100 feet per second. 0 The rework is, on average, falling 100 feet per second. 0 The rework is, on average, climbing 50 feet per second. O The rework is, on average, falling 50 feet per second. 31 The processing time a CPU needs to complete a process is given by T(p) = 0.26p3 - 1.17p2 + 4.8, where p is the processing power of the CPU (measured in gigahertz). What is the average rate of change from p = 0.9 to p = 2.1? O Processing time decreases by about 1.7 second per gigahertz Processing time increases by about 1.7 seconds per gigahertz O Processing time decreases by about 2.05 seconds per gigahertz The processing time neither increases nor decreases per gigahertz32 The graph below represents the number of reviews left by customers of a store t days after the grand opening. Number of Customers 11 10 9 -8 7 w At which values are the number of reviews decreasing most rapidly? O t = 4 O t = 5 O t = 6 O t = 7