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 The following graph shows the profits of a company for the last fiscal year. Approximately how much have the company's profits increased over the last year? - CORRECT ANSWER 30% Black Monday occurred 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 Black Monday occurred. The func tion value f(1) represents the Dow Jones average in June of 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 2 012 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 ANSWER The largest two -year in crease in unemployment was from 1990 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. For example, C(1985) shows there were 170,000 coal miners in the United States in 1985. Which interpretation of the function C is accurate? - CORRECT ANSWER C(2000) represents 70,000 coal miners in 2000. The following table compares the number of employees hired and the number of employees dismissed over an 11 -year period for a certain business. Year# Hired# Dismissed200750102008201020093052010211720116030201270152013402020141552015206
20161022017107 What can be concluded from this table? - CORRECT ANSWER More employees were hired than dismissed each year. A company has the following information on last quarter's sales (month 7 refers to July): MonthSales (in thousands of dollars)730383289333 What was the average rate of change over the entire quarter (from July to September)? - CORRECT ANSWER Sales increased an average of $15,000 per month. An IT firm generates the following numbers to estimate its revenue in thousands of dollars based on the numbe r of employees working on a project. EmployeesRevenue (in thousands)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 ANSWER The revenue is increasing at sl ower and slower rates in relation to the number of employees. An airplane was cruising at an altitude of 39,000 feet and descended as shown in the table below. Descent of Airplane Altitude of Airplane (ft.)Time (min.)39,000033,0001027,0002021,0003015,000 409,000503,00060 What can be concluded from this table? - CORRECT ANSWER The airplane had a descent rate of 600 ft./min. The function table below shows a company's revenue function (R) and expense function (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. Monthly Revenues 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 Which conclusion can be made about this function table? - CORRECT ANSWER The highest profit occurred during October. he orig inal value of a company car bought in January of 2006 was $22,800. Below is 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 can be reached from this table? - CORRECT ANSWER V( y) decreases the most from 2006 to 2007. The salvage or depreciated value, V, of a new truck purchased for $58,000 is given by the linear 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 depre ciated 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 to ride a shuttle service for x miles. What is the total cost for a passenger to ride the shuttle for 50 miles? - CORRECT ANSWER $33.75 A company's total monthly cost is given by the linear function C( x) = 11,000 + 550 x , where C is the total monthly cost and x is the number of units produced each month. The graph of the function is given 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 based on the number of channels, c, on the plan. The price of each plan is given below: Cable: P( c) = 3 c + 60Satellite dish: P( c) = 4 c + 35Streaming service: P( c) = 5 c + 50 Which company's cost per additional channel is most expensive ? - CORRECT ANSWER Streaming service The number of gym member ships 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. How can the slope be interpreted? - CORRECT ANSWER Each month, 11 members join the gym. The pricing models of four contractors are given below, where t is the number of hours worked 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 W hich contractor gives the cheapest hourly rate? - CORRECT ANSWER Contractor A An appliance manufacturer has determined that the profit, P( x), that it makes in manufacturing and selling x dishwashers can be determined from the function in the graph belo w. 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 g raph of P( x) is below: At which number of products produced does the company stop being profitable? - CORRECT ANSWER About 4,500 items A local business is looking to become a franchise. The company wants to predict the number of franchises, F, given a certain number of years, Y. Thi s prediction is modeled by the 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 i nto 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, the drawing has been going on for. What is the correct function notation to represent
20161022017107 What can be concluded from this table? - CORRECT ANSWER More employees were hired than dismissed each year. A company has the following information on last quarter's sales (month 7 refers to July): MonthSales (in thousands of dollars)730383289333 What was the average rate of change over the entire quarter (from July to September)? - CORRECT ANSWER Sales increased an average of $15,000 per month. An IT firm generates the following numbers to estimate its revenue in thousands of dollars based on the numbe r of employees working on a project. EmployeesRevenue (in thousands)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 ANSWER The revenue is increasing at sl ower and slower rates in relation to the number of employees. An airplane was cruising at an altitude of 39,000 feet and descended as shown in the table below. Descent of Airplane Altitude of Airplane (ft.)Time (min.)39,000033,0001027,0002021,0003015,000 409,000503,00060 What can be concluded from this table? - CORRECT ANSWER The airplane had a descent rate of 600 ft./min. The function table below shows a company's revenue function (R) and expense function (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. Monthly Revenues 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 Which conclusion can be made about this function table? - CORRECT ANSWER The highest profit occurred during October. he orig inal value of a company car bought in January of 2006 was $22,800. Below is 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 can be reached from this table? - CORRECT ANSWER V( y) decreases the most from 2006 to 2007. The salvage or depreciated value, V, of a new truck purchased for $58,000 is given by the linear 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 depre ciated 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 to ride a shuttle service for x miles. What is the total cost for a passenger to ride the shuttle for 50 miles? - CORRECT ANSWER $33.75 A company's total monthly cost is given by the linear function C( x) = 11,000 + 550 x , where C is the total monthly cost and x is the number of units produced each month. The graph of the function is given 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 based on the number of channels, c, on the plan. The price of each plan is given below: Cable: P( c) = 3 c + 60Satellite dish: P( c) = 4 c + 35Streaming service: P( c) = 5 c + 50 Which company's cost per additional channel is most expensive ? - CORRECT ANSWER Streaming service The number of gym member ships 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. How can the slope be interpreted? - CORRECT ANSWER Each month, 11 members join the gym. The pricing models of four contractors are given below, where t is the number of hours worked 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 W hich contractor gives the cheapest hourly rate? - CORRECT ANSWER Contractor A An appliance manufacturer has determined that the profit, P( x), that it makes in manufacturing and selling x dishwashers can be determined from the function in the graph belo w. 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 g raph of P( x) is below: At which number of products produced does the company stop being profitable? - CORRECT ANSWER About 4,500 items A local business is looking to become a franchise. The company wants to predict the number of franchises, F, given a certain number of years, Y. Thi s prediction is modeled by the 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 i nto 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, the drawing has been going on for. What is the correct function notation to represent
