WGU C957 APPLIED ALGEBRA FINAL OBJECTIVE ASSESSMENT 2023

1. 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. This prediction is modeled by the function F( Y). What can be concluded by F(5) = 10?: In 5 years, there will be 10 open stores. 2. 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, the drawing has been going on for. What is the correct function notation to represent the amount of money given away after the drawing has been going on for 5 months?: G(5) = 250 3. The volume of calls, V( h), at a particular customer service center can be written as a function of the number of hours after opening each day, h. What would the ordered pair (6,8) represent for this function?: There were 8 calls 6 hours after opening. 4. A company has developed two functions, L( t) and M( t), that determine the least amount and most amount, respectively, of revenue it will make in any given month in dollars (with t = 1 corresponding to January). What can the company reasonably conclude if L(2) = 3,000 and M(2) = 5,000?: In February, it will make between $3,000 and $5,000. 5. A server at a restaurant has realized that tips, T, in dollars are related to the number of hours, h, that have been worked on any given day. Tips can be modeled by the function T( h) = X. How can this function be interpreted?: If the server works h hours, the tips will be $ X. 6. A company pays its employees a base salary each month plus a commis- sion, C, based on the number of sales, s, made by an employee during the month. An employee made 8 sales in the last month and received a commis- sion of $1,600. How would this be represented in function notation?: C(8) = 1600 7. Below is a growth graph of a business. It compares gross growth and net growth. What can be said about the growth between the years of 2012 and 2014?: Both gross and net growth increased. 8. The graph below shows the three-month average percentage year-on-year growth for real total pay for the years , along with the Office for Budget Responsibility's (OBR's) growth forecast for the years . What can be concluded from this graph?: The OBR forecasts the growth will remain above 1% between 2016 and 2021. 9. 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?: 30% 10. 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 function 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?: f(5) 11. 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 per- centage), 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?: The largest two-year increase in unemployment was from 1990 to 1992. 12. 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?: C(2000) represents 70,000 coal miners in 2000. 13. The following table compares the number of employees hired and the number of employees dismissed over an 11-year period for a certain busi- ness. Year# Hired# Dis- missed What can be concluded from this table?: More employees were hired than dismissed each year. 14. A company has the following information on last quarter's sales (month 7 refers to July): MonthSales (in thousands of dollars) What was the average rate of change over the entire quarter (from July to September)?: Sales increased an average of $15,000 per month. 15. An IT firm generates the following numbers to estimate its revenue in thousands of dollars based on the number 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?: The revenue is increasing at slower and slower rates in relation to the number of employees. 16. 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.)39,000033,0001027,0002021,0003015,000409,000503,00060 What can be concluded from this table?: The airplane had a descent rate of 600 ft./min. 17. 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?: The highest profit occurred during October.