Math 76O-250
Calculus for Business
This is Paper Test # 1 [Go to web quiz 1]

Numerical answers are in our text, Hoffman 8th ed.;
Methods will be discussed using other problems;
Links to other web pages were not on original test;
CAUTION: Prof McFarland makes new tests each semester.

Mathematics 250 Test 1 (Quiz : perfect = 10) given Spring 2008
Credit given in proportion to the clarity of your WORK
You need not evaluate anything beyond a point where a calulator is necessary
Average grade on this paper test: 8.50
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  PRINT name above
grades
 
 
 
  paper test   web quiz
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Total (max = 10)

[1](a)(2 pts)(Pg 10 #23) If f(x) = 3x2 + 2x - 6 , find f(x + 2) =
 
x2 +
 
x +
 
Enter numbers in boxes above. Do not enter variables

 
[1](b)
(part of Pg 54 #35) Sandi's Furniture has been selling lamps for $30 each, and at this price, she has been selling 3000 lamps per year. Sandi wishes to raise the price of each lamp, and her consultant estimates that for each dollar increase in the price of a lamp, she will sell 1000 fewer lamps per year. Express Sandi's yearly revenue R as a function of the price x of each lamp.

Wake-up call !
Word problem !
 
R =
 
x2 +
 
x +
0
  (3 points)
 

Enter integers (such as 3, 2000, or -4) in the above boxes.
Note that one number is already given. If you think that the given "0" should have been
some other number, like 9000, then you have wrongly changed the underlined definition of x.

[2](a) (Pg 85 #15d)(3 pts)The graphs of the following equations meet at two points, one of which is (3,9). Show how ALGEBRA can be used to reveal the coördinates of the other intersection point. Credit is for algebra only ; check by substitution or graphing calculator output do NOT count as algebra.
 
y = x2     and     y = 15 - 2x
 

[2](b)(2 pts)(Pg 37 #27, one fraction changed to make arithmetic easier)
Find an equation of the line through the points (- 1
3
, 1 ) and ( 2
3
, 3
4
)
y =
 
  x +  
 
  (enter exact values in boxes; both will be fractions)