Upcoming SlideShare
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×

# Saving this for later?

### Get the SlideShare app to save on your phone or tablet. Read anywhere, anytime - even offline.

Standard text messaging rates apply

# nossi ch 4 quiz answers

374
views

Published on

Answers to the ch 4 quiz

Answers to the ch 4 quiz

Published in: Technology, News & Politics

0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total Views
374
On Slideshare
0
From Embeds
0
Number of Embeds
1
Actions
Shares
0
8
0
Likes
0
Embeds 0
No embeds

No notes for slide

### Transcript

• 1. Ch 4 Quiz
• 1. Tell whether each of the following is continuous, discrete or mixed:
• a gallon of ice cream? Continuous because can be divided evenly
• b) a luxury car? Discrete because cannot be divided.
• 2.
• 2. Pete prefers milk to soda by a ratio of 3 to 1. Pete pays \$4.56 total for a gallon of milk (128 ounces) and a six-pack of soda (72 ounces)
• Total ounces: 128+72 = 200
• a) What fraction of the total value is the milk?_________ the soda?__________
• 3/4 or 128/200=16/25 1/4 or 72/200=9/25
• b) How much value would Pete place on the milk in dollars?________
• Milk=3pts Soda=1 pts
• Milk = 3(128)=384 pts Soda = 1(72)=72 pts
• Value of milk = \$3.84
• Or \$4.56(3/4) = \$3.42
• c) How much value would Pete place on the soda in dollars?____________
• \$.72 using the point value in ouces
• Or \$4.56(1/4) = \$1.14
• 3.
• d) What value would Pete place on 6 ounces of milk and 12 ounces of soda?
• Using pts
• 3(6) + 1(12) = 18 + 12 = 30 or 30 cents
• Using dollars
• (6/128)(\$3.42) + (12/72)(\$1.14) =
• .16 + .19 = .35 or 35 cents
• 4.
• e) Create two different divisions of the liquid that Pete would think are fair.
• Pete’s total pts = 456. Half of 456 = 228. So a fair division for Pete is a total of 228 pts.
• 2 possibilities are: (there are many others)
• Division I :
• Portion 1: 60 oz of milk and 48 oz of soda
• 3pts(60oz) = 180 pts for milk
• 1pt(48oz) = 48 pts for soda
• Portion 2: 68 oz milk and 24 oz soda
• Division II :
• Portion 1: 70 oz milk and 18 oz soda
• Portion 2: 58 oz milk and 54 oz soda
• **Check pts and total ounces**
• 128 ounces of milk and 72 ounces of soda
• 5.
• f) Suppose Russell prefers soda to milk in a ratio of 5 pts to 4 pts . For each of the divisions from part (e), determine which portion Russell would choose and why?
• Division I
• 5pts(60oz milk) = 300 AND 5(68) = 340
• 4pts(48oz soda) = 192 4(24) = 96
• total=492 total = 436
• Russell chooses portion 1 = 492 pts
• Division II
• 5 pts(70oz milk) = 350 AND 5(58) = 290
• 4 pts (18oz soda) = 72 4(54) = 216
• total = 422 total = 506
• Russell chooses portion 2 = 506
• 6.
• 3. A team triathlon consists of a 16-mile run, an 80-mile bike ride, and a 9-mile swim. A team consists of three members. Matt’s running-to-biking-to-swimming ratio is 1 to 4 to 1. Jory’s ratios is 2 to 2 to 1 and Sart’s ratio is 3 to 1 to 4. The events will be divided according to the divide –and-choose method for three players.
• 7.
• a) How will each teammate value the entire race, and what would be a fair share according to each person? Complete the following table to help.
54.67 164 4 1 3 Sart 67 201 1 2 2 Jorey 115 345 1 4 1 Matt Fair Share Total Pts 9-mile swim 80-mile bike 16-mile run
• 8.
• b) Would a 3-mile run, a 10-mile ride, and a 4-mile swim be considered a fair share by any of the three teammates? Justify your answer. (Hint: calculate how many pts this division would equal for each of the 3 players and then compare to your chart above.)
• Matt’s pts: 3(1)+10(4)+4(1) = 47
• Jarey’s pts: 3(2)+10(2)+1(4) = 30
• Sart’s pts: 3(3)+10(1)+4(4) = 35
• Each is less than a fair share
• 9.
• 4. Three kids, Holly, Harvey, and Hanna, must share a candy bar. For each of the following scenarios, describe the steps in a fair division of the candy bar using the last-diminisher method.
• Holly makes the first cut. Harvey feels the portion is less than a fair share, so he does not make any cuts. Hanna also feels the portion is less than a fair share, so she does not make any cuts. How does this scenario proceed to an end?
• Holly gets first piece (one she cut. The last person to cut gets his/her piece.) Harvey and Hanna use the divide and choose method.
• 10.
• b) Holly makes the first cut. Harvey feels the portion is less than a fair share, so he does not make any cuts. Hanna thinks the portion is too big, so she trims the piece. What happens next and how could this scenario end?
• Hanna gets the portion she trimmed. The trimmings are combined with the rest of the candy bar. Holly and Harvey divide and choose.
• 11.
• 5. Twins Else and Emma receive a painting from their grandmother. Both girls admired the painting often, and the grandmother could not decide which one to give it to. Else believes the painting is worth \$780 and Emma feels it is worth \$835. The girls both want the painting, but they agree to use the method of sealed bids to help them create a fair division. What is the result of the division? Show all work.
• 12.
• Emma gets painting and puts \$835 in compensation fund. Each get half of bid: Emma gets 1/2(835)= 417.50 and Else gets 1/2(780) = 390.
• Compensation fund now has
• 835 - (417.50+390) = 27.50 which is split evenly between the two girls.
• Else gets \$390 + \$13.75 = \$403.75.
• 13.
• 6. A couple, Maxine and Dugan, are parting ways and must figure out a way to split up their belongings, including an antique chair, a plasma television, a patio set, a treadmill, and a lawnmower. They agree to abide by the result of the method of sealed bids. Each makes the following bids on each item.
• 14.
• Winner is in blue
\$490 \$350 Lawnmower \$475 \$560 Treadmill \$250 \$345 Patio set \$4500 \$4200 Plasma television \$245 \$290 Antique chair Dugan’s Bids Maxine’s Bids Items
• 15.
• a) How much money is initially placed into the compensation fund?
• 290
• 4500
• 345
• 560
• 490
• 6185 total
• 16.
• c) What is the final distribution of items and cash?
• Maxinne receives 1/2 of her total bids:
• 290 +4200+345+560+350 = 5745
• 1/2 of 5745 = \$2872.50
• Dugan receives 1/2 of his total bids:
• 245+4500+250+475+490 = 5960
• 1/2 of 5960 = \$2980
• Compensation Fund:
• 6185 - (2872.50 + 2980) = \$332.50 which is split evenly between the two: 1/2 332.50 = \$166.25
• Maxinne gets paid 2872.50+166.25 = 3038.75 but had paid in \$1195 so has a net cash of
• 3038.75 - 1195 = \$1843.75
• 17.
• Maxinne gets the chair
• patio set