___________________ ______
Name
Math 1090.04 Quiz 03
Spring 2013
Student ID Number:
Instructions:
• Please remove headphones and hats during the quiz
• Show all work, as partial credit will be given where appropriate. If no work is shown, there may be no credit given.
• All final answers should be written in the space provided on the quiz and in simplified form. When needed give your answer as an exact amount, i.e., a fraction or symbolic expression like e which should be rounded to the nearest cent.
except for dollar amounts
• Calculators are not allowed on this quiz.
• If your phone is out during the quiz it will be considered a cheating offense
put your phone away!
• When you have completed this quiz, place your homework on top of your quiz and remain quietly at your desk. All homework and quizzes will be collected together.
‘
\l athl 090.004
Quiz 03, Page 2 of 3 30 January 2013
WRITE YOUR ANSWERS ON THE LINES PROVIDED
1. Simplify the following using the properties of exponents:
(a) (16x6y12) t)
(a) i:
1
[20
PLj
(b)
5x4
çzk rZ1
(b)
4x
2. Given: g(x)
=
—
6x +8
(a) Find the domain of g:
Cse j: bo+l’- po+
X—ZZO
?xz
qf(el
-4.O
x4
2
?
x4
[30 pts]
(a)
Y6
4y)(2+
\
\
-Th-flf: C
(b) Evaluate g(—2) and simplify as much as possible:
7z
(c) Evaluate g(2) and simplify as much as possible:
(b)
(c)
0
I\lathlO9O.004
Quiz 03, Page 3 of 3 30 January 2013
3. A gas station has weekly costs and revenue that are functions of the number of gallons [50 pts] of gasoline purchased and sold. If x gallons are purchased and sold, weekly costs are given C(x)
=
1.2x + 1080 and weekly revenue by R(x)
=
1.6r.
(a) What are the fixed costs?
(a) i00
Lr wa.k.
(b) ‘What are the variable costs?
(b)
(c) What is the marginal profit?
?(x(X-
=
-7 (c)
O40
(d) Calculate the break-even point
(d)(oD_42o)
I
7-Oc
2OO
-
-4zoo
4sao
C(zoc)- 1.2—(
27-o6) 4 OD
2O1OD y 1.2
2O
2 4