# Mathematics

GSU’s Coolest Road Trip Of All Time!

If you received this application, it means you may be selected to appear on the “Coolest Road Trip of All-Time.” CRT is a new show where groups of people get \$10,000 for a road trip that will be a “unique, life-changing, and eminently watchable experience”. The money you spend will mainly go towards two things: your daily expenses (hotel and food) and your vehicle (rental and gas). Plan carefully. Groups must plan to spend at least \$9500 of the money, or they will not be considered.

The possibilities for your trip are limited only by your ability to budget the money. GSU can drive its production vans anywhere in North America and has relationships with gas stations, hotels, and restaurants to provide you with what you need to finish your journey. You can take as many stops as you wish as long as you start and finish in Lawrenceville, GA. You could take a trip as short as 1 week or as long as 31 Days. You can use the money on a solo drive from the beaches of Cancun to the Mountains of Alaska and stop by California on your way. The trip cannot go across the Atlantic Ocean to Europe, or across any other body of water, because a “Road Trip” needs to take place on an actual road, not a boat. You can also use your money to take up to 7 of your friends on a lavish trip up and down the Jersey Shore.

GSU wants to support an impressive and detailed trip, and one of the most important things to show, is that you can manage the money well. That means you need your trip to fall between \$9,500 and \$10,000. As long as the ideas are well thought out, GSU will consider any proposal.

Application Abstract

Who will attend the trip?

You may bring up to 7 other people. If you have a group member, they must come too.

1. On the lines below list the names of your friends, family, and even famous celebrities (GSU can pull strings) that you plan to bring. The trip can be solo, just two of you, a whole bunch, whatever you choose as long as everything fits in your budget.

_______________________________ _____________________________

_______________________________ _____________________________

_______________________________ _____________________________

_______________________________ _____________________________

2. Give a brief description of the trip.

Part I. Route

You may use any site to create a map, below are directions for Bing.

**REPLACE THIS WITH YOUR MODEL AND INFO**

Create a Map for your trip using Bing Maps (http://www.bing.com/maps).

· Go the website

· Click ‘Directions’

· If you have more destinations, enter each and click ‘Add To route’ each time.

· When finished, click ‘Add destination’ one final time and enter your ending address in Lawrenceville, GA

· Click ‘Go’

· If you want to change your route, repeat the steps above. You can drag and drop points along the route or rearrange destinations.

3. Once your route is good, include a screenshot of the information below. Make sure your screenshot includes your destinations, a map, and the total driving miles and hours. See the example below:

4. How many total miles will you drive?

5. How many hours of driving will it be?

6. GSU only allows people to drive at maximum 10 Hours each day. What is the smallest number of days you could spend driving to complete the trip? Explain mathematically.

7. If your trip ends up being the maximum 31 days, and you spread the driving out equally over each day, how many hours would you spend driving each day? Explain mathematically.

Part II. Daily Expenses

Expenses – Your main expenses for this trip, outside of the car, will be food and lodging, which are calculated separately. GSU will provide you with three different types of Food and Lodging.

Food:

\$200/day per person \$100/day per person \$25/day per person

High Quality Cuisine Healthy nutritious meals Dollar Menu items

in Fancy Restaurants in family-style diners in fast-food joints

Lodging:

Luxury Suites \$500/day – up to 8 people in each Luxury Suite

Hotel Rooms \$100/day – up to 4 people in each Hotel Room

Campground \$25 /day – up to 4 people at each campground

Baggage:

Designer Brand Luggage \$300 for each person

High Quality Duffel Bags \$75 for each person

Plastic Bags / No Luggage \$0 for each person

8. Using this information what type of food and lodging would you like to choose and why?

9. Given the number of people that are going on the trip, what is the total amount you will you spend on food each day? Don’t forget to include a 15% gratuity! Explain mathematically.

10. Given the number of people that are going on the trip, what is the total amount you will you spend on lodging each day? Explain mathematically.

11. Given the number of people that are going on the trip, what is the total amount you will you spend on luggage for everybody? Explain mathematically.

Part III. Vehicle Expenses

GSU will allow you the use of the following vehicles for your trip because they have product placement deals. Make sure you have enough room for all of your passengers (you may need to rent more than one of a particular type to hold all the people attending). Pay attention to the Miles Per Gallon (MPG) since you will have to pay for gas as well.

 Suzuki TU250x \$22/Day 2 Passengers 70/82 MPG CITY/HWY Toyota Prius \$34/Day 4 Passengers 51/48 MPG CITY/HWY Audi A4 Cabriolet \$67/Day 4 Passengers 21/29 MPG CITY/HWY Cadillac Escalade Hybrid \$98/Day 8 Passengers 21/22 MPG CITY/HWY Lamborghini Murcielago* \$160/Day 2 Passengers 8/13 MPG CITY/HWY

12. What type of vehicle will you choose and why?

13. Once you choose a vehicle, find out how many gallons of gas it will take you to finish your trip. Round to the nearest tenth of a gallon. Explain mathematically.

14. GSU will have gas available throughout the trip at their corporate rate of \$2.23 per gallon. How much will you pay in total for gas? (Round up to the nearest dollar) Explain mathematically.

Part IV. Calculating Costs

14-17. Use the choices you made above to calculate the cost of a 1, 2, 3, or 4-week trip. Write your results in the table; show your work for at least one example below.

 Days Total Food, Lodging, and Luggage Cost – (Part II) Total Vehicle and Gas Cost – (Part III) Other – (Attractions, fees, etc.) Total Trip Cost 7 14 21 28

If you can’t find a suitable trip in the table above, then you should be able to try different lengths of trips in the spaces below (between 7 and 31 days).

REMEMBER THE TRIP MUST BE BETWEEN \$9,500 AND \$10,000.

 Days Total Food, Lodging, and Luggage Cost – (Part II) Total Vehicle and Gas Cost – (Part III) Other – (Attractions, fees, etc.) Total Trip Cost

It may be that no length trip would work, if that is the case, adjust your totals by choosing different hotels, cars, food, etc. Then, go through and total up all these costs again.

18. How many days should your trip last to cost between \$9500-10,000? Explain mathematically.

Part V. Trip Analysis

19. Break down your trip in terms of percentages. Include the percent of your total budget that is spent on food, lodging, and gas. Round to the nearest percent.

 Amount Spent Percent of total budget Food Lodging Luggage Vehicle Gas Other: List each Other: List each Other: List each Other: List each Other: List each Other: List each Other: List each Totals

20. Suppose GSU has a rule that no more than 45% of the trip budget can be spent on food.

Does your trip still qualify? Explain mathematically.

21. How much would you be allowed to spend on food given the budget you proposed? Explain mathematically.

22. Suppose GSU has a financial arrangement that requires at least 15% of the trip budget to be spent on transportation. Does your trip still qualify? Explain mathematically.

23. Write an equation that models your itemized calculated costs, list variables, and explain.

Part VI. Error

Recall that there are two types of measurement error that can occur: random and systematic.

24. Give at least one place in the project where a random error may have affected your total cost for the trip. Explain why this is random error.

25. Give at least one place in the project where a systematic error may have affected your total cost for the trip. Explain why this is a systematic error.

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