REAL EXAM QUESTIONS AND ANSWERS WITH A
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GRADED A | ALL LEARNING CHECKS INCLUDED
The following graph shows the profits of a company for the last fiscal year. Approximatelyhow much
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have the company's profits increased over the last year? - CORRECT ANSWER 30%
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Black Monday occurred on October 19, 1987, and represents the single largest decline of the Dow
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Jones average in history.The function f represents a seven-month period during which Black Monday
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occurred. The function value f(1) represents the Dow Jones average in June of 1987. Which function
f f f f f f f f f f f f f f f f
value represents the Dow Jones average during the month when Black Monday occurred? -
f f f f f f f f f f f f f f
f CORRECT ANSWER f(5) f f
The unemployment rate in Poland for the time period from 1990 to 2012 is shown in the graph below
f f f f f f f f f f f f f f f f f f
using the function U( t) (measured as a percentage), where t is the year. For example, U(1990) is the
f f f f f f f f f f f f f f f f f f f
unemployment rate for the year 1990. What can be concluded based on this graph? - CORRECT
f f f f f f f f f f f f f f f f
f ANSWER The largest two-year increase in unemployment was from 1990 to 1992.
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The graph of the function C below represents the number of coal miners in the United States from 1985
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to 2015.C( y) represents the number of coal miners in the United States in the year y. For example,
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C(1985) shows there were 170,000 coal miners in the United States in 1985. Which interpretation of the
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function C is accurate? - CORRECT ANSWER C(2000) represents 70,000 coal miners in 2000.
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The following table compares the number of employees hired and the number of employees dismissed
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over an 11-year period for a certain business.
f f f f f f f f
,Year# Hired# f
Dismissed200750102008201020093052010211720116030201270152013402020141552015206
f
20161022017107
f
What can be concluded from this table? - CORRECT ANSWER More employees were hired than
f f f f f f f f f f f f f f
dismissed each year.
f f f
A company has the following information on last quarter's sales (month 7 refers to July): MonthSales
f f f f f f f f f f f f f f f
(in thousands of dollars)730383289333
f f f f
What was the average rate of change over the entire quarter (from Julyto September)? - CORRECT
f f f f f f f f f f f f f f f f
f ANSWER Sales increased an average of $15,000 per month. f f f f f f f f
An IT firm generates the following numbers to estimate its revenue in thousands of dollars based on the
f f f f f f f f f f f f f f f f f
number of employees working on a project.
f f f f f f f
EmployeesRevenue (in thousands)10$12.4020$21.9930$30.7440$36.0150$38.43 f f
Which conclusion can be made by examining the average rate of change between consecutive rows?
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- CORRECT ANSWER The revenue is increasing at slower and slower rates in relation to the
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number of employees.
f f f
An airplane was cruising at an altitude of 39,000 feet and descended as shown in the table below.
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Descent of Airplane
f f f
Altitude of Airplane (ft.)Time (min.)39,000033,0001027,0002021,0003015,000409,000503,00060
f f f f
What can be concluded from this table? - CORRECT ANSWER The airplane had a descent rate of
f f f f f f f f f f f f f f f f
600 ft./min.
f f
The function table below shows a company's revenue function (R) and expense function (E) for each
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month. In the second row, R(1) is the revenue total for January, and E(1) is the expense total for
f f f f f f f f f f f f f f f f f f f
January.
f
Monthly Revenues and Expenses f f f
Month (m)Revenues R(m)Expenses E(m)1 (Jan.)$2,000$2,2002 (Feb.)$3,220$3,9573
f f f f f
(Mar.)$2,579$2,5044 (Apr.)$4,100$1,6755 (May)$5,328$2,1226 (June)$6,745$1,9907
f f f f
,(July)$5,995$2,1118(Aug.)$10,200$3,1839(Sept.)$9,455$4,12910(Oct.)$12,337$92711 f f f
(Nov.)$10,234$3,78612 (Dec.)$7,195$2,199
f f
Which conclusion can be made about this function table? - CORRECT ANSWER The highest profit
f f f f f f f f f f f f f f
occurred during October.
f f f
he original value of a company car bought in January of 2006 was $22,800. Below is a function table that
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tracks the value of the car V( y) as it depreciates.
f f f f f f f f f f f
Depreciation of Company AutomobileYear (y)Value (V(y)) f f f f f
2006$22,8002007$18,2402008$15,5042009$13,1782010$11,2012011$9,5212012$8,0932013$6,
f
8792014$5,8472015$4,970
V(2007) = $18,240 is the value of the car from January to December of 2007. Which other conclusion
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can be reached from this table? - CORRECT ANSWER V( y) decreases the most from 2006 to 2007.
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The salvage or depreciated value, V, of a new truck purchased for $58,000 is given by the linear
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function V( t) = 58,000 - 4,000 t, where t is the time in years between 0 and 10. What is the correct
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interpretation of V(3)? - CORRECT ANSWER The truck's depreciated value after 3 years is
f f f f f f f f f f f f f f
$46,000.
f
In the function C( x) = 21.25 + 0.25 x, C( x) represents the total cost, in dollars, for a passenger to ride a
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shuttle service for x miles. What is the total cost for a passenger to ride the shuttle for 50 miles? -
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f CORRECT ANSWER $33.75 f f
A company's total monthly cost is given by the linear function C( x) = 11,000 + 550 x , where C is the
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total monthly cost and x is the number of units produced each month. The graph of the function is
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given below: What does the y-intercept represent in this situation? - CORRECT ANSWER If 0
f f f f f f f f f f f f f f f
items are produced, the monthly cost is $11,000.00.
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A cable company, a satellite dish company, and a streaming service all offer TV viewing plans based
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on the number of channels, c, on the plan. The price of each plan is given below: Cable: P(
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, c) = 3 c + 60Satellite dish: P( c) = 4 c + 35Streaming service: P( c) = 5 c + 50 Which company's cost per
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additional channel is most expensive? - CORRECT ANSWER Streaming service
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The number of gym memberships since January 1, 2015, for a particular gym is given by the function
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N( x) = 100 + 11 x, where N is the number of gym members x months after January 1, 2015. How can the
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slope be interpreted? - CORRECT ANSWER Each month, 11 members join the gym.
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The pricing models of four contractors are given below, where t is the number of hours worked and P is
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the total cost of the job. Contractor A: P( t) = 100 + 20 tContractor B: P( t) = 99 + 25 tContractor C: P( t)
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= 50 + 35 tContractor D: P( t) = 80 + 25 t Which contractor gives the cheapest hourly rate? -
f f f f f f f f f f f f f f f f f f f f f
f CORRECT ANSWER Contractor A f f f
An appliance manufacturer has determined that the profit, P( x), that it makes in manufacturing and
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selling x dishwashers can be determined from the function in the graph below. How many
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dishwashers must the company manufacture and sell in order to make a profit of $80,000? -
f f f f f f f f f f f f f f f f
CORRECT ANSWER 130
f f f
The profit function P( x) gives a company's total profit (in millions of U.S. dollars) for x products
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produced (in thousands). The graph of P( x) is below: At which number of products produced does the
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company stop being profitable? - CORRECT ANSWER About 4,500 items A local business is
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looking to become a franchise. The companywants to predict the number of franchises, F, given a
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certain number of years, Y. This prediction is modeled by the function F( Y). What can be concluded
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by F(5) = 10? - CORRECT ANSWER In 5 years, there will be 10 open stores.
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A bank begins a marketing campaign to increase its number of customers. Each month, all new
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customers are put into a drawing. One customer then receives a $50 credit in a checking account.The
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amount of money given away in the drawing, G, is a function of the number of months, M, the drawing
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has been going on for. What is the correct function notation to represent
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