MAT 108
Quantitative Reasoning
UW- Fond Du Lac
Spring 2008:
Lecture 002 on 2:30PM-3:45PM Tuesday - Thursday
Room A211
Course Syllabus
Dictionary Online
MAT 108 Grading Scale:
| A 100 - 93 |
B 85 - 83 |
C 75 - 73 |
D 65 - 63 |
| A- 92 -89 |
B- 82 - 80 |
C- 72 - 70 |
D- 62 - 60 |
| B+ 88 -86 |
C+ 79 - 76 |
D+ 69 - 66 |
F< 59 |
Lecture Notes
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A small country consists of seven states; there are 160 seats in the
legislature |
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that need to be apportioned among the seven states; and the population |
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of each state is shown in the table. Find the final appointment using
the Hamilton method for each state. |
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A |
B |
C |
D |
E |
F |
G |
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pop |
1283 |
2374 |
2725 |
2155 |
1592 |
2511 |
2017 |
14657 |
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std quota |
14.00559 |
25.915 |
29.747 |
23.52 |
17.38 |
27.411 |
22.02 |
160 |
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min quota |
14 |
25 |
29 |
23 |
17 |
27 |
22 |
157 |
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remainders |
0.0056 |
0.92 |
0.75 |
0.52 |
0.4 |
0.411 |
0.02 |
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final app |
14 |
26 |
30 |
24 |
17 |
27 |
22 |
160 |
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91.60625 |
std quota |
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because the highest fractional quota get the extra 3 seats |
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Extra Credit on Exam Two:
Given a right triangle with an area of 7 and perimeter 12, find
the sides. Diophantus (an ancient Greek) derived the quadratic equation 172 x =
336 x2 + 24 from the statement of the problem.
For three points added to exam two, prove that:
can easily be put into the form:
You only have to mathematically change the former into the
latter equation for three points. Since this is a quadratic equation
there are two roots or solutions, which you do not have to prove.