Test Bank For Elementary & Intermediate Algebra 4th Edition
By Michael Sullivan III; Katherine R. Struve; Janet Mazzarella
9780134556079 Chapter 1-16 Complete Guide
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? - 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, 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? - ANSWER: G(5) = 250
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? - ANSWER: There were 8 calls 6 hours after opening.
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? - ANSWER:
In February, it will make between $3,000 and $5,000.
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? - ANSWER: If the server works h hours, the tips will be $ X.
A company pays its employees a base salary each month plus a commission, 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 commission of $1,600. How would this be represented in function notation? - ANSWER:
C(8) = 1600
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? - ANSWER: Both gross and net growth
increased.
The graph below shows the three-month average percentage year-on-year growth for real total pay
for the years 2010-2016, along with the Office for Budget Responsibility's (OBR's) growth forecast for
the years 2016-2021. What can be concluded from this graph? - ANSWER: The OBR forecasts the
growth will remain above 1% between 2016 and 2021.
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? - 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 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? - 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? - ANSWER: The
largest two-year increase 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? - ANSWER: C(2000) represents 70,000 coal miners in
2000.
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)? - 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 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?
- ANSWER: The revenue is increasing at slower and slower rates in relation to the number of
employees.
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? - ANSWER: The highest profit occurred
during October.
he original 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$6,8792
014$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? - 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)? - 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 to ride
a shuttle service for x miles. What is the total cost for a passenger to ride the shuttle for 50 miles? -
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? - 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? - ANSWER: Streaming service
By Michael Sullivan III; Katherine R. Struve; Janet Mazzarella
9780134556079 Chapter 1-16 Complete Guide
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? - 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, 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? - ANSWER: G(5) = 250
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? - ANSWER: There were 8 calls 6 hours after opening.
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? - ANSWER:
In February, it will make between $3,000 and $5,000.
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? - ANSWER: If the server works h hours, the tips will be $ X.
A company pays its employees a base salary each month plus a commission, 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 commission of $1,600. How would this be represented in function notation? - ANSWER:
C(8) = 1600
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? - ANSWER: Both gross and net growth
increased.
The graph below shows the three-month average percentage year-on-year growth for real total pay
for the years 2010-2016, along with the Office for Budget Responsibility's (OBR's) growth forecast for
the years 2016-2021. What can be concluded from this graph? - ANSWER: The OBR forecasts the
growth will remain above 1% between 2016 and 2021.
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? - 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 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? - 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? - ANSWER: The
largest two-year increase 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? - ANSWER: C(2000) represents 70,000 coal miners in
2000.
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)? - 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 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?
- ANSWER: The revenue is increasing at slower and slower rates in relation to the number of
employees.
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? - ANSWER: The highest profit occurred
during October.
he original 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$6,8792
014$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? - 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)? - 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 to ride
a shuttle service for x miles. What is the total cost for a passenger to ride the shuttle for 50 miles? -
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? - 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? - ANSWER: Streaming service
