MATH 108 _ QUIZ
10 _ 6
APRrL
2011
Answer all of the following questions in the space provided.
Show all work as partial
creqjt may be given. Answers without justification,
if they are correct, will earn no
",r"n
credlt.
1' (a pts') The highway department is planning to build a picnic area for motorists
along a
major highway. It is to be rectangular with an area of 5, 000
square yards and is to be fenced
off on the three sides not adjacent to the highway. What is the least
amount of fencing that
will be needed to complete the job?
M a x r^ iz
A
Lcu.l,ft"
vrnirniil,r't
at
Zed
K--so.,
$e,^ci.r^g
'
Q/hut,r-
1=H:!0,
Sa uvtiln,v,tuw Qtruogv
2. (2 pts.
(a)
rcs/a
(b)
(28
t
fE""t,,"t" thu fi
e
te"q {& oQ go wci,,'g
-fr: Lxry
Soe =XqJ
IU = Sooo
,X-
-) | f= Zxt
F'=z -Oao
: =f
ry
Z^
ctry -FAy+U =2N
?#i""
=Q'+2YL=Socvd
-) *=z5rlo
or whole number.
= 6oH)3
'= 83=
3a\-stz
5r>_
3'
(2 pts' each) Use the properties of exponential functions to simplify
the given expressions
to a single exponential expression.
o,
(#)^, =
(b) (42/B)(24/s)
:
tf,yn t=-t, )t'' :[Ktyr.
= Cat)% ,f6
=*
=
*/
,i,= = f,= tr
//
MATH
108 _
QUIZ 10 _ 6 APRrL 2011
Answer all of the following questions in the space provided.
Show all work as partial
may be given. Answers without justification,
if they are correct, will earn no
",r"r,
crecllt.
*"qi:
1' (a pts') The highway department is planning to build a picnic area for motorists
along
a
major highway' It is to be rectangular and is to be fenced uff
on the three sides not adjacent
to the highwav, and the highway department has 400 feet of fencing
available to do the job.
what are the dimensions of the picnic area that will enclose the lareest area?
Maxivrn
r>e
A --
XY (ane^ot pi.,,ric "u"")
loo =zx+J
U:4c0-Lr
->
*rCrooJ =
o
ft :- X [Ltoo -2X) X = qao
=o
At: 40O - ,tX lar ? €s- otM.
\ao -tkr
2' {2 pts'
1.4,lvt0-ut
:Q
}(=
><: [o o
loo + t , Y= )dcY $g
each) Evaluate the following expressions as a simple fraction or whole
number.
(")(;)"'
[r+\Y.-l3 =ff)t
= Ltq/
J [r ) -= f
"7//
(b)
(azla
+84/3)-2
= (Cgvt:. *Gvtyft = e
= ("1 *{b)-z : zo-L :-
+zt)-L
4oo
I
3'
(2 pts' each) Use the properties of exponential functions to simplify
the given expressions
to a single exponential expression.
(a) t(y2)(yz/z1t/z
(b) (2s2/s)(s3/2)
=t
:
(
S3/z
_
32+3/2-ltl.
= (5r-)% ,
\T-)'tb
_ \+,$
,.{fS .53/L
=3
*o