This document provides vocabulary and functions related to work. It includes fill-in-the-blank sentences about jobs in a workplace, professions and trades. It also lists collocations of words connected to work, including general expressions about jobs, hours of work, not working, and other useful expressions. The document is an exercise to help learn vocabulary and language functions for discussing topics related to employment and careers.
1. If the profit from the sale of x units of a product is P = AbbyWhyte974
1. If the profit from the sale of x units of a product is P = 105x − 300 − x2, what
level(s) of production will yield a profit of $1050? (Enter your answers as a
comma-separated list.)
x = _________ units
2. The total costs for a company are given by
C(x) = 5400 + 80x + x2
and the total revenues are given by
R(x) = 230x.
Find the break-even points. (Enter your answers as a comma-separated list.)
x= __________ units
3. If total costs are C(x) = 900 + 800x and total revenues are R(x) = 900x − x2, find the
break-even points. (Enter your answers as a comma-separated list.)
x= _____________
4. For the years since 2001, the percent p of high school seniors who have tried marijuana
can be considered as a function of time t according to
p = f(t) = 0.17t2 − 2.61t + 52.64
where t is the number of years past 2000.† In what year after 2000 is the percent
predicted to reach 75%, if this function remains valid?
_______________
5. Using data from 2002 and with projections to 2024, total annual expenditures for
national health care (in billions of dollars) can be described by
E = 4.61x2 + 43.4x + 1620
where x is the number of years past 2000.† If the pattern indicated by the model
remains valid, in what year does the model predict these expenditures will reach
$15,315 billion?
__________________
6. The monthly profit from the sale of a product is given by P = 32x − 0.2x2 − 150 dollars.
(a) What level of production maximizes profit?
___________ units
(b) What is the maximum possible profit?
$_____________
7. Consider the following equation.
y = 9 + 6x − x2
(a) Find the vertex of the graph of the equation.
(x, y) = (__________)
(b) Determine what value of x gives the optimal value of the function.
x=_____________
(c) Determine the optimal (maximum or minimum) value of the function.
y=______________
8. Consider the following equation.
f(x) = 6x − x2
(a) Find the vertex of the graph of the equation.
(x, y) = (__________)
(b) Determine what value of x gives the optimal value of the function.
x=_____________
(c) Determine the optimal (maximum or minimum) value of the function.
f(x)= _____________
9. Find the maximum revenue for the revenue function R(x) = 358x − 0.7x2. (Round your
answer to the nearest cent.)
R = $______________
10. The profit function for a certain commodity is P(x) = 150x − x2 − 1000. Find the level of
production that yields maximum profit, and find the maximum profit.
x= _________ units
P=$ _________
11. If, in a monopoly market, the demand for a product is p = 2000 − x and the revenue is
R = px, where x is the number of units sold, what price will maximize revenue?
$________________
12. If the supply function for a commodity is p = q2 + 6q + 16 and the demand function is p
= −3q2 + 4q + 436, find the equilibrium quantity and equilibrium price.
equilibrium quantity_______________
equilibrium price $_______________
13. If the supply and demand functions for a commodity are given by p ...
1. If the profit from the sale of x units of a product is P = MartineMccracken314
1. If the profit from the sale of x units of a product is P = 105x − 300 − x2, what
level(s) of production will yield a profit of $1050? (Enter your answers as a
comma-separated list.)
x = _________ units
2. The total costs for a company are given by
C(x) = 5400 + 80x + x2
and the total revenues are given by
R(x) = 230x.
Find the break-even points. (Enter your answers as a comma-separated list.)
x= __________ units
3. If total costs are C(x) = 900 + 800x and total revenues are R(x) = 900x − x2, find the
break-even points. (Enter your answers as a comma-separated list.)
x= _____________
4. For the years since 2001, the percent p of high school seniors who have tried marijuana
can be considered as a function of time t according to
p = f(t) = 0.17t2 − 2.61t + 52.64
where t is the number of years past 2000.† In what year after 2000 is the percent
predicted to reach 75%, if this function remains valid?
_______________
5. Using data from 2002 and with projections to 2024, total annual expenditures for
national health care (in billions of dollars) can be described by
E = 4.61x2 + 43.4x + 1620
where x is the number of years past 2000.† If the pattern indicated by the model
remains valid, in what year does the model predict these expenditures will reach
$15,315 billion?
__________________
6. The monthly profit from the sale of a product is given by P = 32x − 0.2x2 − 150 dollars.
(a) What level of production maximizes profit?
___________ units
(b) What is the maximum possible profit?
$_____________
7. Consider the following equation.
y = 9 + 6x − x2
(a) Find the vertex of the graph of the equation.
(x, y) = (__________)
(b) Determine what value of x gives the optimal value of the function.
x=_____________
(c) Determine the optimal (maximum or minimum) value of the function.
y=______________
8. Consider the following equation.
f(x) = 6x − x2
(a) Find the vertex of the graph of the equation.
(x, y) = (__________)
(b) Determine what value of x gives the optimal value of the function.
x=_____________
(c) Determine the optimal (maximum or minimum) value of the function.
f(x)= _____________
9. Find the maximum revenue for the revenue function R(x) = 358x − 0.7x2. (Round your
answer to the nearest cent.)
R = $______________
10. The profit function for a certain commodity is P(x) = 150x − x2 − 1000. Find the level of
production that yields maximum profit, and find the maximum profit.
x= _________ units
P=$ _________
11. If, in a monopoly market, the demand for a product is p = 2000 − x and the revenue is
R = px, where x is the number of units sold, what price will maximize revenue?
$________________
12. If the supply function for a commodity is p = q2 + 6q + 16 and the demand function is p
= −3q2 + 4q + 436, find the equilibrium quantity and equilibrium price.
equilibrium quantity_______________
equilibrium price $_______________
13. If the supply and demand functions for a commodity are given by p ...
1. If the profit from the sale of x units of a product is P = AbbyWhyte974
1. If the profit from the sale of x units of a product is P = 105x − 300 − x2, what
level(s) of production will yield a profit of $1050? (Enter your answers as a
comma-separated list.)
x = _________ units
2. The total costs for a company are given by
C(x) = 5400 + 80x + x2
and the total revenues are given by
R(x) = 230x.
Find the break-even points. (Enter your answers as a comma-separated list.)
x= __________ units
3. If total costs are C(x) = 900 + 800x and total revenues are R(x) = 900x − x2, find the
break-even points. (Enter your answers as a comma-separated list.)
x= _____________
4. For the years since 2001, the percent p of high school seniors who have tried marijuana
can be considered as a function of time t according to
p = f(t) = 0.17t2 − 2.61t + 52.64
where t is the number of years past 2000.† In what year after 2000 is the percent
predicted to reach 75%, if this function remains valid?
_______________
5. Using data from 2002 and with projections to 2024, total annual expenditures for
national health care (in billions of dollars) can be described by
E = 4.61x2 + 43.4x + 1620
where x is the number of years past 2000.† If the pattern indicated by the model
remains valid, in what year does the model predict these expenditures will reach
$15,315 billion?
__________________
6. The monthly profit from the sale of a product is given by P = 32x − 0.2x2 − 150 dollars.
(a) What level of production maximizes profit?
___________ units
(b) What is the maximum possible profit?
$_____________
7. Consider the following equation.
y = 9 + 6x − x2
(a) Find the vertex of the graph of the equation.
(x, y) = (__________)
(b) Determine what value of x gives the optimal value of the function.
x=_____________
(c) Determine the optimal (maximum or minimum) value of the function.
y=______________
8. Consider the following equation.
f(x) = 6x − x2
(a) Find the vertex of the graph of the equation.
(x, y) = (__________)
(b) Determine what value of x gives the optimal value of the function.
x=_____________
(c) Determine the optimal (maximum or minimum) value of the function.
f(x)= _____________
9. Find the maximum revenue for the revenue function R(x) = 358x − 0.7x2. (Round your
answer to the nearest cent.)
R = $______________
10. The profit function for a certain commodity is P(x) = 150x − x2 − 1000. Find the level of
production that yields maximum profit, and find the maximum profit.
x= _________ units
P=$ _________
11. If, in a monopoly market, the demand for a product is p = 2000 − x and the revenue is
R = px, where x is the number of units sold, what price will maximize revenue?
$________________
12. If the supply function for a commodity is p = q2 + 6q + 16 and the demand function is p
= −3q2 + 4q + 436, find the equilibrium quantity and equilibrium price.
equilibrium quantity_______________
equilibrium price $_______________
13. If the supply and demand functions for a commodity are given by p ...
1. If the profit from the sale of x units of a product is P = MartineMccracken314
1. If the profit from the sale of x units of a product is P = 105x − 300 − x2, what
level(s) of production will yield a profit of $1050? (Enter your answers as a
comma-separated list.)
x = _________ units
2. The total costs for a company are given by
C(x) = 5400 + 80x + x2
and the total revenues are given by
R(x) = 230x.
Find the break-even points. (Enter your answers as a comma-separated list.)
x= __________ units
3. If total costs are C(x) = 900 + 800x and total revenues are R(x) = 900x − x2, find the
break-even points. (Enter your answers as a comma-separated list.)
x= _____________
4. For the years since 2001, the percent p of high school seniors who have tried marijuana
can be considered as a function of time t according to
p = f(t) = 0.17t2 − 2.61t + 52.64
where t is the number of years past 2000.† In what year after 2000 is the percent
predicted to reach 75%, if this function remains valid?
_______________
5. Using data from 2002 and with projections to 2024, total annual expenditures for
national health care (in billions of dollars) can be described by
E = 4.61x2 + 43.4x + 1620
where x is the number of years past 2000.† If the pattern indicated by the model
remains valid, in what year does the model predict these expenditures will reach
$15,315 billion?
__________________
6. The monthly profit from the sale of a product is given by P = 32x − 0.2x2 − 150 dollars.
(a) What level of production maximizes profit?
___________ units
(b) What is the maximum possible profit?
$_____________
7. Consider the following equation.
y = 9 + 6x − x2
(a) Find the vertex of the graph of the equation.
(x, y) = (__________)
(b) Determine what value of x gives the optimal value of the function.
x=_____________
(c) Determine the optimal (maximum or minimum) value of the function.
y=______________
8. Consider the following equation.
f(x) = 6x − x2
(a) Find the vertex of the graph of the equation.
(x, y) = (__________)
(b) Determine what value of x gives the optimal value of the function.
x=_____________
(c) Determine the optimal (maximum or minimum) value of the function.
f(x)= _____________
9. Find the maximum revenue for the revenue function R(x) = 358x − 0.7x2. (Round your
answer to the nearest cent.)
R = $______________
10. The profit function for a certain commodity is P(x) = 150x − x2 − 1000. Find the level of
production that yields maximum profit, and find the maximum profit.
x= _________ units
P=$ _________
11. If, in a monopoly market, the demand for a product is p = 2000 − x and the revenue is
R = px, where x is the number of units sold, what price will maximize revenue?
$________________
12. If the supply function for a commodity is p = q2 + 6q + 16 and the demand function is p
= −3q2 + 4q + 436, find the equilibrium quantity and equilibrium price.
equilibrium quantity_______________
equilibrium price $_______________
13. If the supply and demand functions for a commodity are given by p ...
1. ENGLISH
4
/
VANTAGE
1
VOCABULARY
AND
FUNCTIONS
WORK
Work
EVU
15
Read
out
the
odd
sentences
and
fill
in
the
missing
words.
A
Jobs
in
a
workplace
1
2
a
di_____
(=
member
of
the
board
of
a
company),
an
ex_____
(=
important
person
who
makes
big
decisions)
an
administrator
(=
person
who
runs
the
office
day-‐to-‐day),
a
skilled
worker
(=
trained
to
do
specific
tasks,
e.g.
building
a
computer)
an
u_____worker
(=
doing
a
job
that
needs
no
training),
a
r_____
(=
visitors
must
check
in
with
them)
a
public
relations
officer
(=
important
person
who
makes
big
decisions),
a
union
representative
(=
looks
after
the
staff’s
interests)
a
r_____
(=
investigates
and
develops
new
products),
a
s__________
(=
makes
sure
workers
are
doing
their
job
properly)
3
4
5
B
B1
1
2
3
B2
1
2
Trades
and
professions
Professions
a
c_____
s_____
(=
person
who
works
for
a
government
department
putting
policies
into
action),
a
sc_____
(=
an
expert
who
studies
or
works
in
one
of
the
sciences),
a
ph_____
(=
person
who
treats
muscle
injury
by
rubbing
and
moving
injured
areas)
a
designer
(=
person
who
imagines
how
something
could
be
made
and
draws
plans
for
it),
a
judge
(=
person
who
takes
decisions
in
legal
cases),
a
l__________
(=
university
teacher)
an
a__________
(=
chief
diplomat
or
person
representing
his/her
government
abroad),
a
b__________
(=
someone
with
an
important
position
in
a
bank),
an
e_________
(=
expert
in
financial
matters),
Trades
a
fi__________
(=
person
who
extinguishes
a
fire),
an
e__________
(=
person
who
deals
with
electricity)
a
carpenter
(=
person
skilled
at
making
things
with
wood),
a
plumber
(=
person
who
works
with
the
supply
and
connection
of
water
pipes),
a
childminder
(=
person
looking
after
others’children
in
her
own
home
while
their
parents
are
at
work)
C
Collocations
of
words
connected
with
work
C1
General
1
2
3
4
5
C2
1
2
3
John
:
What
d’you
……………….
a
l_________
?
(=
What’s
your
job
?)
Kate
:
I
‘m
in
banking.
John
:
I’ve
been
offered
a
temp
_________
and
I
accepted.
However,
the
interview
I
had
today
is
a
permanent
position.
What
should
I
do?
I
would
find
it
difficult
to
_____
a
l_________
doing
temp
_____.
Kate
:
Call
the
temp
service
(or
temp
agency)
and
tell
them
"A
family
thing
has
come
up,
I'll
get
back
ASAP”.
Why
don’t
you
find/get
a
job
in
Barcelona.
This
may
be
easier
than
in
other
parts
of
Spain.
John
:
How
do
I
get
a
work
visa
if
I’ve
been
offered
_________
in
Spain?
Moreover,
I’m
not
prepared
to
t_____
o_____
(=
accept)
_____
abroad.
Hours
of
work
I
do
sh_____/I
do
sh_____
(=
nights
one
week,
days
the
next
week).
I’m
on
flexitime
(=
flexible
working
hours).
I
work
n_____-‐to-‐f_____
(=
regular
day
work).
2. ENGLISH
4
/
VANTAGE
1
VOCABULARY
AND
FUNCTIONS
WORK
Work
EVU
15
C3
1
2
3
4
5
C4
1
2
3
Not
working
Mark
:
I’m
on
str_____
and
my
sister
is
g_____
on
str_____
too
(=
there
is
an
industrial
dispute).
John
:
I
got
the
sack
(=
more
informal)/I
was
fired
(=
more
formal)/I
was
made
redundant/I
was
laid
off
(=
more
informal)
last
week.
Kate
:
I’m
on
m_____
l_____.
Chris
:
My
brother
is
has
t_____
p_____
l_____.
(=
before/after
the
birth
of
a
baby)
My
colleage
is
on
sick
leave
(=
illness).
It’s
been
two
years
since
I
t_____
e_____
r_____.
Here’s
what
I’ve
learned,
usually
the
hard
way
…
Don’t
work
on
projects
together
etc.
(=
retire
at
55).
Other
useful
expressions
The
Financial
Times
reports
today
that
W_____
Anonymous
groups
are
taking
off.
Over
the
summer
Bank
of
America
faced
intense
criticism
after
an
intern
died.
I've
just
been
promoted
and
I'm
supervising
people
I've
worked
with.
Tim
:
Why
are
you
_____
for
this
job?
Jonathan
:
I
don't
feel
that
my
full
abilities
are
being
utilized
in
my
current
position