Math blog post
Recently in math 9 we have been planning a trip. Our trip could take us anywhere we wanted to go but we had to stay on the land, so no boats or planes! I am also aloud to bring anyone I want with me, so Isabelle Hūmenny, and Luca Jacoe, will be joining me for my trip. We were also given 10,000 (imaginary) dollars to complete the trip. Our trips had to start in NYC and after that they could go anywhere! So let me tell you about the most amazing trip that I am about to embark on, fasten your seat belts because its about to get crazy!
PART 1
My Trip Plan
My trip begins in NYC, like everyone else’s, and the final destination is Mexico City. But its going to take around 90 hours to get there so my first destination is Philly, or Philadelphia as its properly pronounced. But before I can get to Philly I need a vehicle to get me there, and the vehicle I chose for this trip is the 2009 Gulfstream Yellowstone, or a RV.
Now that I’ve got my vehicle and location, I’m ready to go! It takes 1 hour and 55m to get to Philadelphia and when I get there, I plan on going to the Please Touch museum and doing some shopping on south street.
I have a pretty big day of driving the next day so I should limit my day in Philly. I will stay in Owego camp for the night.
The next morning I have an 8 hour journey to Charlotte, Pennsylvania.
In Charlotte I will spend the night in McDowell Nature Preserve Campground. The next morning I am traveling for a startling time of 9 hours and 54 minutes! Crazy! I am traveling to Memphis and I probably wont spend to much time there, I’ll be pretty tired! But for the night I will spend my time in the Graceland RV park.
On the fourth day of my travels I will be headed to Dallas.
It’s a shorter trip than the day before but it will still take 6 hours and 56 minutes. I will explore Dallas a little bit and then head to bed, because I’ll be beat! In Dallas I’ll stay in the Northeast campground.
The next day I will leave Dallas and head for Laredo, the drive will be 6 hours and 29 minutes and I’ll have my jams playing the whole way! I think I would like to explore Laredo so I am staying in a very central campground called Camping Laredo.
On the sixth day I went from Laredo to Monterrey. In Monterrey I stayed in La Aldea. It takes 8 hours to get there and I will definitely need to rest up before the final leg of my journey!
The next morning I will be traveling from Monterrey to Mexico City, in Mexico City I will spend one day there and I will stay at Las Estacas, and then on the way back up I will do the same thing again!
PART 2
Costs
Now that I’ve finished my trip plan I need to explain the costs of gas, lodging, and food. There was 3 choices for what you wanted to eat, you could have $200 per day for high quality cuisine, $100 per day for healthy nutritious meals in a family dinner style, or $25 per day for fast food kind of meals.
I chose to spend my extra money on family style cuisine, to stay healthy and happy throughout my trip. The next choice was where you wanted to stay over night. There was Luxury Suites for $500 per night, Hotel Rooms for $100 per night, or campgrounds for $25 per night. I chose campground because I have an RV and it would be a waste to spend money on a hotel! And lastly the was the choice between high quality duffels, designer bags or plastic bags. I chose plastic bags to save me money! Since I know my food and lodging cost I have to figure out vehicle costs. My RV costs $150 per day. For my trip gas is a big part of it and to figure out how much gas I need, I have to figure out my miles per gallon. My RV has 8 miles per gallon, and I am traveling 5694.4 miles. So the gallons of gas needed would be 711.8. Acording to the ILLEST ROA TRIP OF ALL TIME gas costs $2.80 per gallon. So that would mean that I am spending $1993.04 on gas! That’s a lot! I had to graph the costs so I could see how long I could spend on the trip.
Now that I had the graph, I had to support my concept with some math. I had to figure out an equation that would tell me exactly how much money I would spend each day on food, lodging, and gas and vehicle costs. My equation for food and lodging costs is 375 y. Y is the amount of days, and it is the variable in my equation. For the vehicle equation it is, 150 x + 1993.04. X is the variable in that equation. Below is a photo of the equations and steps I used to figure out the amount of days I can go for.
Part 3
Sponsorship
I had the lucky chance of getting 3 different choices for sponsorships. Pepsi, Coca Cola, and Snapple. All three of these sponsorships cater to varying lengths of trips. The graph below will help to see that.
As you can see green ( Snapple ) would benefit a longer trip, where as black ( Coca Cola ) would benefit a shorter trip, and red ( Pepsi ) would benefit a medium trip. Since my trip is 15 days long, I decided to choose Pepsi. But I wasn’t just able to stumble upon this graph so I should explain my steps to this final product. I started with the equation y=mx+b. I then took the information about what costs were on which days ( in the black in the photo below ) and I graphed them on the graph above. Once I had finished graphing the costs, I needed to find the slope. To find the slope you must divide rise buy run. Rise is the amount that changes vertically from point a to point b, and run is the amount that changes horizontally from point a to point b. Now that I had the rise and run, I divided and I received my slope, or m in the equation above. The rest of the equation just fell into place after replace the variables with the information I had received. If you want to dive deeper into the mathematics of this the photo below is all my work on this question.
Anyways thanks for reading my trip outline and I hope you enjoyed my illest road trip!
adlih
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