7
Precalculus
Final
Exam
Review
1.
At
9:00 pm
Bob
leaves
his
home
and starts
walking
to the bus
stop
it
a
constant
speed
of
9.3 feet per
second. Bob's
house
is
4320
feet
from
the bus
stop.
'
'
'
'
a.
Define
variables
for
the quantities that
are
changing
(BE
SPECIFIC).
{=
pu'.nbrr' ,r{
5tccudr
glape;d
5rrrts
BoD
{rft
lr,,
l,oric
t\
r
f
1",,'
e)i:t6q1p
,n
{<e*
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lUu:;g
rq:
tl,.
chdnrrsE
1,r{ect
{ro''a
13ot:
tc
tl'i'
t'rr:3
stop
b.
What
does
it
mean
to
say
Bob walks
at
a
constant
speed
of
9.3 feet per
second?
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e.)
/
t
tt,
tl,.
r,itor3"
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tl't
nUn"nLi,
c{
5e
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c.lafsrel
5'n{f
fl>ob
lt{l
hi:
hc'rt'
c.
Consider the
formula d
=
4320

9.3t
i.
What
does
/
represent?
tlt,
nrnnba,
,f
5gctids
olop't'\
5r\tlt
Pli,,
le{
t l'';
}iou5t
ii. What does 9.3r represent?
iii. What does d represent?
2.
A
rock
is dropped
into
the
middle
of
a
lake creating
a
circular
ripple.
The radius
of
the
circle
increases at
a
constant rate
of
5
cm
each
second. Define
a
function
g
that
determines the radius
of
the
circular ripple after /
seconds
have
elapsed since
the
rock hit
the water.
<1(
t)=
5t
3.
Let
dbe
the distance
of
a
car, measured
in
feet,
from
mile marker
120,
and
let
/
be
the number
of
seconds
that have elapsed
since
the
vehicle
has passed
mile marker
120.
The distance d is
a
function
of
the
time
/ and is
represented
by
the
functionf
defined d
:
f
(t)where/(r)
:
/
+t.
a.
As
the number
of
seconds elapsed
increases
from2
to
3.5
seconds,
what
is
the change
in
the
car's
distance
from
mile
marker
120?
{3;i:iiii;I,
bL,3
b)
*
(t.'\
t,b,/5
b
q'tifct*
b,
Determine
the
average speed
of
the car over the
time interval
of
1
second
to
4
seconds.
t(1):iLr\
=
i"u:
4
E=
C,n/"
'l*l
3
t
c.
Explain
the meaning
of
average speed
in this
context.
Tk.
a_on'tanl
t(tl'J
nJ.l
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o!'
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Final
Exam Review
@
2013 Carlson, Oehrtman,
and
Moore
Page
I