Diego Arevalo, & Orlando Gallegos, Joe AguadoP.10 scenery 2 & 1

Scenario 2

Mr. consumer is thinking of getting a cellphone to talk with ms. Consumer. He wants the better plan money wise. His choices are Precision Cellular which is 49$ a month plus 10 cents a minute and Clear voice wireless which is 25$ a month plus 35 cents a minute.

Equations

T= total cost N= number of minutes For Precision Cellular T=.10N + 49 For Clear Voice Wireless T=.35 + 25 For the break even point .10N + 49=.35 + 25 N=96

Solution/Conclusion

The point when they both cost the same amount of money is when they have talked for 96 minutes. This was found by using the substitution method. When you plug in 96 for N they both cost 58.6$. When the number of minutes you talked is less then 96 Clear Voice Wireless is the better deal. But after you talk for more than 96 minutes Precision Cellular is the better deal. So if Mr. Consumer isn't going to call much then go with Clear Voice Wireless but if he's planning to call a lot go with Precision Cellular since eventually it will be the better

Cont

deal. An example of why Clear Talk Cellular cost less when its under 96 minutes is if you plug 50 in T=.35+25 and T=.10N+ 49. Your gonna see that T=.35N+25 which is Clear Voice Wireless has a lower number which is its cost than Precision Cellular.

Scenario 1

Mr. Consumer and Ms. Consumer make a lot of phone calls locally. There trying to decide which company offers better service locally Regional Exchange which is 8$ a month with .16 cents per call and General Telephone which is 14$ a month with .08 cents per call.

Equations

T= total cost & C= number of calls For Regional Exchange its T= .16C+ 8 For General Telephone its T= .08C+14 For the breaking point .16C+8= .08C+ 14 C= 75

Solution

The point in which they both cost the same amount is after they make 75 calls. At that point they both cost 20$. When its under 75 calls Regional Telephone is the better deal. An example is when you made 25 calls. Regional Exchange would cost 12$ while General Telephone would cost 14$. But after you have made more than 75 calls General Telephone would be the better service. An example is if you made 100 calls. Regional would cost 24$ and General would cost 22$.

Conclusion

Our conclusion is that Mr and Ms. Consumer should get Regional Exchange. Over time it may cost more but I doubt they will be making more than 75 calls a month. This would be even more likely if like most people in this age they have a cellphone.

Consumer's Project, Scenario 3

Orlando GallegosJoe Aguado

Diego ArevaloP. 10, Algebra II

The Problem.

The problem is, we are debating over which of two services, the two services are Alice's appliance

repair, and Al's appliance repair.Al's repair service charges 65$ plus 20$ per hour,

while Alice's repair service charges 25$, plus 40$ per hour. So that is

65$+x20$25$+x40$

P= Price, A= Additional price per hour. X= Number of hours, T= Total.

P+XA=T

Which is a better deal?According to our calculations as a group. We

know that Alice's repair will cost 65$ the 1st hour, Al's service was 85$ the 1st hour.

Anything equal or less than three hours, it would be best to purchase Al's service, since at three

hours, this service charges Alice's service charges 145$, while Al's service charges 125$

at three hours. If you would like to use the service for only one hour of less, then Alice's

repair would best fit you, if you plan on using it for three hours or more, then Al's service is

definitely the way to go.

Why?In comparing both services, it makes no difference

which you pick, if you are only going to use this service for two hours. The third hour, and

beyond is when the service starts making a difference, since Alice's repair will cost 145$ the third hour, and Al's service will cost only 125$ by

the third hour.Alice's Repair Price, 25+40=65 1st Hour, 65+40=

105$ 2nd hour, and 145$ by the 3rd hour.

Al's= 65+20=85 1st Hour, 85+20= 105$ 2nd hour, and 125$ by the 3rd hour.

In Conclusion

In conclusion if you want to be the smart buyer, I would go with Alice's repair if you are going use this service for one hour or less, but if you are

going to use the service for three hours or more, then Al's service is definitely the way to go:D .

Scenario 4

In scenario 4, the scenario number four, the debate is whether Paco's Charter Boats service, Or Wally's Charter boat service is beneficial to the consumer. Paco's service charges 50$ per boat rental, and 60$ extra per person. While

Wally's service charges 230$ for the boat rental, and 30$ extra per hour.

Orlando Gallegos, Joe Aguado, Diego Arevalo

Which is better?

Paco's service is only better than Wally's service if you are taking less

than 7 people, if you are planning on taking only seven people, then it makes no difference which service you select. But if you are planning on taking 8 or more people then

you should definitely go with Wally's service, the total sum will be less

than Paco's service.

Total's

Wally's Charter230+30260+30290+30320+30350+30380+30410+30

Paco's Charter50+60

110+60170+60230+60290+60350+60410+60

According to the total sum when you add the additional fee's per person Wall's service is better if you have 8 or more people.

In Conclusion

The obvious answer if you want to be beneficial is to go with Paco's service if you have less than 7

people. If you have 8 people, then you should go with Wally's charter, it will be inexpensive, compared to Paco's service. If you are planning

on taking exactly seven people, then it makes no difference,

however many people you take.

Web Rider's or World Connections?Orlando Gallegos

Joe AguadoDiego Arevalo, P. 10, Algebra II

As it results the situation is, we are debating and using mathematics to obtain the answer to the unsolved problem.

The problem is that Mr. and Mrs. consumer are trying to figure out which interenet company would benefit them most.

The options are, Web Riders, which has a monthly fee or 16, and an additional fee of 6$ per hour.

The other option is World Connections Which charges 30$ per month, and has an additional fee of 4$ per hour.

We did the math, and according to our calculations the Web riders service would benefit Mr and Mrs. consumer more than the World Connections service. It would only benefit

them more under one condition, it would benefit them if they used no hours, therefore they would have a fee of 16 dollars

a month. and the World Connections would cost 30$ per month.

The only way World Connections would be more beneficial than the Web Riders group is if Mr. and Mrs. Consumer used more than 7 hours in a month. They come to a tie at 7 hours, so if each uses the internet

for only 7 hours exact every month it makes no difference which service is purchased. But after 7 hours it would be pointless to get the Web Riders

service. It would be more beneficial to purchase World Connections.

ExplanationSince they both have a flat price followed by an extra fee

that is charged for every hour of use, I will demonstrate the prices after every additional hour that is used. The

total price will go by hours.

Price Comparison

Web Rider's2228344046525864

World Connections3438424650545862

Learning Experience

To us this was a learning experience. We learned how important of a contribution

knowing how to solve these problems is. Sometimes you'll hear about a deal. Then hear about another, and think their both good, but in some situations you will not

be able to decide since you have no knowledge of finding out which deal is

better.

What else did we learn? (outside of math :D)

In addition to learning how to do these problems, and figuring out how to get the better deal, we have learned, ( a

little outside of math, but an important lesson), procrastination can be a pain.

Another thing we learned is, always have a back up plan, there were some situations where we were not able to

work on the project due to lack of resources. Last but not least, we learned that it is very easy to get

distracted while doing a project, so be prepared.