For all these problems, it is not enough to simply state an answer; you must show your work in such a way that your reasoning is clear.
For section 3A:
A. I go to a restaurant to eat a $10 meal. I see a generous friend of mine. If I join my friend, who plans to eat an $8 meal, she'll generously split the bill with me. However, my friend is also a generous tipper: if I eat with her, we'll pay a 20% tip, whereas on my own I tend to pay only 15%. Which option will save me money: eating alone, or eating with my friend? And how much money will I save? (For purposes of this problem, ignore sales tax.)
B. Assume that the population of the city of Madison is 200,000
and that the population of the city of Milwaukee is 600,000.
Complete the following statements:
(a) The population of Madison is ...% of the population of Milwaukee.
(b) The population of Milwaukee is ...% of the population of Madison.
(c) The population of Madison is ...% less than the population of Milwaukee.
(d) The population of Milwaukee is ...% more than the population of Madison.
You may round your answer to the nearest whole number percent.
(For instance, 16.6% percent could be expressed as 17%.)
C, D, E, F. Do problems 97, 98, 99, and 100 (pp. 150-151).
G.
(a) If my salary increases by 10% one year and then increases
by 10% in the next year, what is the net increase over the 2-year period?
(b) If my salary decreases by 10% one year and then decreases
by 10% in the next year, what is the net decrease over the 2-year
period?
(c) If my salary increases by 10% one year and then decreases
by 10% in the next year, what is the net percentage change over
the 2-year period?
(d) If my salary decreases by 10% one year and then increases
by 10% in the next year, what is the net percentage change over
the 2-year period?
Section 3B:
H, I, J, and K. Do problems 24, 28, 32, and 66 (pp. 165-167).
L. The national debt is about 8 trillion dollars. The typical American household's net worth is about 45 thousand dollars. If we decreased the national debt by the typical American household's net worth every second, roughly how long would it take to pay down the national debt? (Ignore the fact that the economy is constantly changing.) Express your answer in appropriate units. That is, don't leave it as some huge number of seconds or minutes or days; use units like weeks, months, or years, so that the number is smaller and the answer is easier to make intuitive sense of.
M. The 2000 election would (probably) have ended in a win for Al Gore if 500 Florida voters who voted for Bush or Buchanan had voted for Gore. The number of Americans who voted in 2000 was roughly 100 million. If, in order to get a more intuitive sense of how narrow a margin of victory this was, we represent the number of voters in the U.S. by the length of a football field (100 yards), how narrow was Bush's margin of victory, in inches?
N. Say you devote 10 hours a week on average to Math 141 for 15 weeks (that includes attending lectures, doing the reading, doing homework, and taking tests). What percent of your life (assuming you live 75 years) will have been devoted to this class? If we represent your lifetime by one day, by how much time should we represent the portion of your life spent on Math 141? (Use appropriate units. That is, if your answer is less than one hour, don't use units of hours; and if your answer is less than one minute, don't use units of minutes.)
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