Mathematics S.B.A Name: Subject: Name of School: Centre #: Candidate#: Teacher Name: 1 Table of Content Project Title ……………………………………………………………………… 1 Introduction …………………………………………………………………… 2 Method of Data Collection ……………………………………………………… 3 Presentation of Data …………………………………………………………….. 4 Analysis of Data …………………………………………………………………. 5 Discussion of Findings …………………………………………………………… 6 Conclusion ………………………………………………………………………… 7 Reference …………………………………………………………………………. 8 Appendix ………………………………………………………………………… 9 2 Project Title The most cost effective destination vacation for Jamaica or Abroad 3 Introduction Scenario: Sasha plans a vacation with her friends each year. This year, she selected an expensive resort, but found that her friends struggle to find affordable transportation due to their location. After researching, Sasha discovered more cost effective options that offer the same experience. She is considering three resorts: AC Hotels, Jamaica, Fiesta Sol Caribe Playa Los Corals, Punta Cana and Castaway Resort & Suites, Nassau. Choosing a cost-effective vacation destination can be a challenging yet rewarding task, especially when weighing options between Jamaica and international destinations. This analysis explores how to maximize value while minimizing expenses for travellers seeking an affordable yet enriching getaway. Jamaica, with its beautiful beaches, vibrant culture, and diverse activities, presents a compelling case for a budget-friendly vacation. On the other hand, exploring abroad offers a range of options that could potentially provide greater cost savings or unique experiences. By comparing various factors such as accommodation costs, local expenses, and travel deals, this overview aims to identify the most cost-effective destination for an unforgettable vacation. Whether staying within Jamaica or venturing overseas, the goal is to find a destination that provides the best balance of affordability and adventure.This SchoolBased Assessment aims to investigate the prices of each hotel from the countries chosen and expenses which will be obtained via the internet and presented throughout the research. The objective of this research is also aimed to calculate each expense to which Sasha and her friends have to pay and determine which country's family vacation is most cost-effective. The student researchers intend to create a Google Forms questionnaire with 10 multiple choice questions and distribute it over WhatSapp. The researchers will also use the Internet to obtain information. Graphs and tables will be used to interpret the data. The material and the statistics from the questionnaire will then be compared and conclusions will be drawn. This topic was chosen by the researchers because it will aid in the development of their mathematical and comprehension skills and also to inform people about the different countries and their costs. 4 Method of Collecting Data Throughout the period of 3months from December 28th 2023 to February 9th 2023 for this research was collected via Travel Sites such as Orbitz.com and also Questionnaire. The researcher examined the hotels from AC Hotels in Jamaica, Fiesta Sol Caribe Playa Corals in Punta Cana and Castaways Resorts & Suites and the different expenses which Sasha and her friends could be paying for this information. Through this study with the use of calculations and mathematical equations. A questionnaire of 10 question (9 multiples choice questions and 1 short answer question). 5 Table Showing Each Country and their Series Of Expenses Countries Hotel Cost per Number of nights Additional Cost of Hotel Cost Transportation Grand Cost night Jamaica AC Hotel Bahamas Fiesta Sol Caribe Playa Los Corales Punta Cana Castaways Resorts & Suites 6 Presentation Of Data Frequency Table Showing The Location of the Respondents Preferences Friends Vacation Hotels and Their Countries Number of Respondents AC Hotels in Jamaica Fiesta Sol Caribe Playa Los Corals Castaways Resorts & Suites 12 16 12 Total 40 Column Graph Showing The Location Of The Respondents Friends Vacations. 16 12 AC HOTELS 12 FIESTA SOL CARIBE PLAYA LOS CORALES CASTAWAYS RESORT & SUITES Column3 Frequency Table Showing Area of Which the Respondents Think Has the Highest Cost 7 Express on a Transportation Friends Vacation Accommodation Food & Drink Number of Entertainment 10 Respondents 17 13 0 Percentage 42.5% 32.5% 0 25% Pie Chart Showing Areas of which the Respondents think has the Highest Cost 16% Transportation Accommodation Food & Drink 23% 58% Entertainment 3% Frequency Table Showing the Respondents Preferable Length of Stay Length of Less Than 7 7 - 11 days 12 - 16 days Over 17 days 8 Stay days Number Of Respondents Total Column Graph Showqing The Respondents Preferable Lenth Of Stay 15 10 8 7 0 LESS THAN 7 DAYS 7 TO 11 DAYS 12 TO 16 DAYS 17 OVER Frequency Table Showing Whether Family Vacation in Jamaica is More Expensive than Abroad. Is Jamaica more expensive than Abroad? More Expensive Less Expensive Number of Respondents Total 9 Bar Graph Showing Whether Friends Vacation in Jamaica is More Expensive Than Abroad NO 19 YES 21 18 18,5 19 19,5 20 20,5 21 21,5 Series 1 Table Showing Each Country and Their Series of Expense Exchange Rate: 1USD=157.28 Countries Hotel Cost per night ( for the entire friend group) Additional Hotel Cost Cost of Transportation Number of Night Grand Cost Jamaica $273 USD $46 USD $7,100 JMD 7 $307,670.38 AC Hotel JMD 10 Bahamas Castaway Resorts & Suites $82.24 USD $29 USD $1,474.2 USD 7 $244,765.4272JMD Punta Cana Fiesta Sol Caribe Playa Los Corals $95 USD $35 USD $1532 USD 7 $351,048.96 JMD Data Analysis Jamaica AC Hotel- Kingston Jamaica The entire vacation cost of AC Hotel was calculated using the following formula. The cost of an ideal family vacation in Jamaica is estimated to be $58,423.7JMD. This covers the cost of the accommodation, which is calculated as the cost per night plus the property fee, as well as the cost of transportation, which is calculated as bus fare from Gutters to Kingston As the Friend's budget was in Jamaican dollars, the sum was converted to JMD at a rate of $1 USD equals $157.28JMD to arrive at a more precise figure. After multiplying the total hotel cost by the currency rate, a total of $8,249.336 JMD was obtained. Because the transportation is in Jamaica, the cost has already been computed in JMD ($7100). Travellers Price Discount Per Ticket Subtotal 2 x Adults $2,300 $300 $4,000 2 x Teens $1,850 $300 $3,100 Total $7,100USD CALCULATIONS: Bus Fare: Adult price + Children Price Per Adult= $2300 JMD Per Teens= $1850 JMD Discount per Ticket= $250 JMD 2 Adults= 2 x $2300= $6,400 JMD 2 Teens= 2 x $1,850= $3,700JMD Discount per Ticket = 4 x 300= $1200 JMD 11 Total Bus Fare from Kingston to St. Ann: $6,400.00JMD +$3,700.00JMD - $1,200.00JMD= $7,100.00 JMD Hotel Cost Per Night (tax included) + Property fee Per Night (entire friend group) = $273.00USD Property Fee= $46.00USD Total Cost per Night =$273.00 * 7=$1911.00USD Hotel Cost= $1911.00 + $46.00= $1,957.00USD Foreign Exchange (USD to JMD) $1.00USD:$157.28 JMD $1,911.00 USD: x $1,911.00 USD= $157.28 * $1,911.00USD = $300,570.38 JMD Total Vacation Cost= Hotel Expenses + Transportation Cost = $300,570.38 + $7,100= $307,670.38 Bahamas Castaway Resort & Suites in Bahamas The entire vacation cost of Castaway Resort & Suites, Bahamas was calculated using the following formula. The cost of an ideal family vacation in the Bahamas is estimated to be $244,765.4272 JMD. This covers the cost of the accommodation, which is calculated as the cost per night plus taxes and fees plus property taxes, as well as the cost of the flight, which is calculated as the adult price plus the children's price. As the family's budget was in Jamaican dollars, the sum was converted to JMD dollars at a rate of $1 USD equals $157.28 JMD to arrive at a more precise figure. After multiplying the total flight cost by the currency rate, a total of $231,830.72 JMD was obtained. The whole hotel cost was multiplied by the exchange rate, resulting in a bill of $12,934.7072 JMD. Travellers Price Per Person Subtotal 2 x Adults $421.05 $842.1 12 2 x Teens $316.05 $632.1 Total $1,474.2USD Calculations: Flight Cost= Adult Price + Teens Price Per Adult= $421.05 USD Per Teens=$316.05 USD 2 Adults= 2 x $421.05= $842.1JUSD 2 Teens= 2 x $316.05= $632.1USD Total Flight Cost= $842.1USD + $632.1USD=$1,474.2USD Hotel Cost= Cost per night + Taxes & Fees + Property Fees Cost per night (for entire friend group) = $82.24 USD 7 nights x $82.24USD= $575.68USD Taxes & Fees = $14.5USD Property Fees=$14.5USD Total Hotel Cost=$575.68USD + $14.5USD + $14.5USD=$604.68 Foreign Exchange (USD to JMD) Flight Cost $1.00USD=$157.28 JMD $1,474.2USD=x $1,474.2USD= $157.28 JMD * $1,474.2 USD = $231,830.72 JMD Hotel Cost Foreign Exchange (USD to JMD) $1.00USD=$157.28 JMD $82.24USD=x $1,474.2USD= $157.28 JMD * $82.24USD = $12,934.7072 JMD 13 Total Vacation Cost= Hotel Expenses + Transportation Cost $12,934.7072JMD + $231,830.72JMD= $244,765.4272JMD Punta Cana Fiesta Sol Caribe Playa Los Corals The entire vacation cost of Fiesta Sol Caribe Playa Los Corals -Punta Cana was calculated using the following formula. The cost of an ideal family vacation in Punta Cana is estimated to be $384,613.45 JMD. This covers the cost of the accommodation, which is calculated as the cost per night plus food expenses plus taxes, as well as the cost of the flight, which is calculated as the adult price plus the children's price. Because the family's budget was in Jamaican dollars, the sum was converted to JMD at a rate of $1 USD equals $157.28 JMD to arrive at a more precise figure. After multiplying the total flight cost by the currency rate, a total of $276,904.45JMD was obtained. The whole hotel cost was multiplied by the exchange rate, resulting in a bill of $107,709.00JMD. Travellers Price Per Person Subtotal 2 x Adult $356.00 $532.00 2 x Teens $410.00 $820.00 Total $1,532USD Calculations: Flight Cost: Adult Price + Children Price Per Adult=$356.00USD Per Children= $410.00USD 2 Adults= 2 x $356.00USD= $712.00USD 2 Children= 2 x $410.00USD= $820.00USD Total Cost Flight= $820.00USD + $712.00USD=$1,532USD Hotel Cost 14 Cost Per Night + Food Expenses + Taxes Cost per night=$95USD Food Expenses= $20USD Taxes=$15USD 7 nights * $95 USD= $665.00USD Food expenses=$20USD Taxes= $15USD Total Hotel Cost= $665.00USD + $20USD + $15USD= $700.00USD Foreign Exchange (USD to JMD) Flight Cost $1.00USD=$157.28 JMD $1,532USD=x $1,532USD= $157.28 JMD * $1,532 USD = $240,952.96 JMD Hotel Cost Foreign Exchange (USD to JMD) $1.00USD=$157.28 JMD $700USD=x $700.00USD= $157.28 JMD * $700.00USD = $110,096JMD Total Vacation Cost= Hotel Expenses + Transportation Cost $110,096JMD + $240,952.96 JMD=$351,048.96 15 Countries Cost Difference To conclude, we calculated the expenses for each country and determined the cost differences between them. Based on the students' observations, Jamaica emerged as the most affordable option among the four countries for planning a family vacation, while the Bahamas was identified as the priciest. To ascertain the cost disparity, we subtracted the expense figures of each country from those of the others. Difference between Jamaica and Bahamas= $307,670.38 JMD - $244,765.4272 JMD = $62,904.9528 Difference between Punta Cana and Bahamas= $351,048.96 JMD - $244,765.4272 JMD = $106,283.5328 Difference between Jamaica and Punta Cana= $351,048.96 JMD - $307,670.38 JMD =$43,378.58 JMD 16 Angles of the Pie Chart The pie chart used in the Presentation of Data, represents the areas in which the respondents from the questionnaire think have the highest cost. The figures included 45% being the Highest, 32.5%, 7.5% and 5% being the lowest. The pie chart has the shape of a circle and angles in a circle equates to 360°. The angles of the pie chart were calculated by dividing each percentage by 90 and multiplying it by 360°. Angle for Accommodation= Percentage/90*360 = 45/90*360 = 180o Angle for Transportation= Percentage/90*360 = 32.5/90*360 = 130o Angles for Entertainment= Percentage/90*360 = 7.5/90*360 = 30o Angles for Food & Drink= Percentage/90*360 = 5/90*360 = 20o 17 Discussion of Findings Based on our analysis, Castaways Resort and Suites in the Bahamas emerged as the most budget-friendly option for a family vacation compared to the AC Hotel in Jamaica and Fiesta Sol Caribe Playa Los Corals, which were more expensive. The overall cost for a vacation at Castaways Resort and Suites is JMD 224,765.43, which is the only option fitting within the JMD 300,000 budget. In contrast, a vacation in Jamaica would be JMD 351,048.96 more expensive than the Bahamas option but still presents a viable choice. Specifically, Jamaica is approximately JMD 307,670.38 more affordable than Fiesta Sol Caribe Playa Los corals in the Bahamas but less expensive compared to Castaways Resort and Suites. Interestingly, survey results indicate that despite the cost differences, a majority of respondents preferred the Fiesta Sol Caribe Playa Los corals in the Bahamas over the AC Hotel in Jamaica. This preference highlights the importance of researching and comparing various hotels when planning an economical family vacation. Additionally, it is crucial to consider seasonal variations, as costs for lodging, transportation, and other expenses can fluctuate significantly depending on the time of year. The research faced challenges such as price changes, which required frequent updates to the data as hotel rates were adjusted. In summary, while the Bahamas offers the most affordable option within the specified budget, Jamaica provides a cost-effective alternative. Proper planning and timely research are essential for ensuring the best possible value for a family vacation. 18 Conclusion Our research has determined that Castaways Resort and Suites in the Bahamas is the most economical choice for a family vacation, costing JMD 224,765.43, which fits comfortably within the JMD 300,000 budget. In comparison, a vacation in Jamaica, although more expensive by JMD 351,048.96, remains a viable and cost-effective option, especially considering it avoids international flight costs. Fiesta Sol Caribe Playa Los Corals in the Bahamas, while preferred by many survey respondents for its appeal, is significantly pricier, being JMD 307,670.38 more expensive than a vacation in Jamaica. These findings underscore the importance of thorough research and comparison when planning a family vacation, particularly with regards to seasonal price variations. Additionally, price fluctuations during the research period highlighted the need for up-to-date information to make informed decisions. 19 Bibliography There are no sources in the current document. Reference Orbitz hotels Ac Hotels in Jamaica https://www.orbitz.com/Kingston-Hotels-AC-Hotel-By-MarriottKingston.h35559503.Hotel-Information?chkin=2024-09-17&chkout=20240924&x_pwa=1&rfrr=HSR&pwa_ts=1726103730513&referrerUrl=aHR0cH M6Ly93d3cub3JiaXR6LmNvbS9Ib3RlbC1TZWFyY2g%3D&useRewards =false&rm1=a4&regionId=5130571&destination=Kingston%2C+Jamaica+ %28KINNorman+Manley+Intl.%29&destType=MARKET&neighborhoodId=6004 108&latLong=17.938292%2C76.778939&sort=RECOMMENDED&top_dp=247&top_cur=USD&userInt ent=&selectedRoomType=220548703&selectedRatePlan=290193063&searc hId=b3bf251f-14ce-45ca-b6b129085b2a1c56&propertyName=AC+Hotel+by+Marriott+Kingston%2C+J amaica Transportation from Gutters to Kingston to go to AC Hotels https://www.knutsfordexpress.com/fare-schedule/fare-table/ Expedita hotels in Punta Cana https://www.expedia.com/Punta-Cana-Hotels-FIESTA-SOL-CARIBEPlaya-LOS-CORALES.h106746089.Hotel-Information?startDate=2024-0917&endDate=2024-0924&x_pwa=1&rfrr=HSR&pwa_ts=1726104640976&referrerUrl=aHR0cH M6Ly93d3cuZXhwZWRpYS5jb20vSG90ZWwtU2VhcmNo&useRewards= false&rm1=a2&regionId=601906&destination=Punta+Cana%2C+La+Alta gracia%2C+Dominican+Republic&destType=MARKET&neighborhoodId =601946&latLong=18.59386%2C20 68.38268&badgeType=0&sort=PRICE_LOW_TO_HIGH&top_dp=2023.9 8&top_cur=USD&userIntent=&origin=Montego+Bay%2C+Jamaica+%28 MBJSir+Donald+Sangster+Intl.%29&tripType=ROUND_TRIP&cabinClass=C OACH&misId=AgjfmfWM9K-otusBELnejZXxjNTlgEg_fjkVQ%7EARIIGgIIAiCy3iQaMggBEhYKA01CShjNhKkCKgoyM DI0LTA5LTE3EhYKA1BVShjcj_ACKgoyMDI0LTA5LTI0&packageTyp e=fh&selectedRoomType=325045657&selectedRatePlan=396494641&mipt =AQoDVVNEEigKBggCENi8BBIGCAIQ2LwEGgYIAhC45goiBggCEJSR AioGCAIQxKsCGiwKBggCEOSdFBIGCAIQ5J0UGgYIARDwiAEiBggC EITFCSoCCAIyBggCEITFCQ&searchId=08ef13f2-5d7a-4372-a2eabafa179c5ac3&propertyName=FIESTA+SOL+CARIBE+playa+LOS+CO RALES Expedia Flight Montego Bay Airport to Punta Cana Airport https://www.expedia.com/FlightInformation?journeyContinuationId=AQqzBQrQBHY1LXNvcy03Njk0YT dkNTYyMDY0YjIzYjQwNzI4MTRjYTI0N2FhZC0xLTAtMS1zdC12NS1z b3MtNzY5NGE3ZDU2MjA2NGIyM2I0MDcyODE0Y2EyNDdhYWQtNjU tMC0xfjIuU35BUW9DQ0FFU0J3alVCQkFCR0FFb0FsSUV1NzhDQUZn Q2NBQndBSG9IWVcxaFpHVjFjM29IWVcxaFpHVjFjNGdCX2NqWlJw QUJBWkFCQVFQVFwb0NqSUl3WVlCRWdReE9EQTFHS3hJSUpqT0FTakM4dGNDTUx mMDF3STRSMEFBV0FGcUJVSkJVMGxEY2doSFRFWkVWREpDUVF veUNNR0dBUklFTVRjNU5CaVl6Z0VnajAwb2lmdlhBakNYX2RjQ09FZ EFBVmdCYWdWQ1FWTkpRM0lJUjB4R1JGUXlRa0VTQ2dnQkVBRVl BU29DUVVNWUJDSUVDQUVRQkNnQ0tBTW9CREFCLkFRcU9BUW9 1Q01Kc0VnUXlOek15R0k5TklMS2lBU2prdjlnQ01KbkEyQUk0VEVBQV dBRnFBa1JPY2doVFNUTlJWVVZNTVFvdUNNSnNFZ1F4TkRNMEdM S2lBU0RNY0NqWXlOZ0NNSXpLMkFJNFRFQUJXQUZxQWtST2NnaF BRemRCVlVWTU1Rb3NDTUpzRWdNMU1qRVl6SEFnckVnbzRjcllBak RleTlnQ09FeEFBVmdCYWdKRVRuSUlUME0zUVZWRlRERVNDZ2dC RUFFWUFTb0NRallZQkNJRUNBRVFCQ2dDS0FNb0JEQUIRCtejcD18 qkAaEwgBEg8KCFBUMTRIMTBNEgNZWVoaIggCEg4KB1BUMThIN0 0SA1NKVRIOCgdQVDFIMjVNEgNNQ08iAQEqBRIDCgExKgcIARIDC gExagkJAAAAgKT7tj8SQwoYCgoyMDI0LTA5LTE3EgNNQkoaA1BVSj 21 gBChgKCjIwMjQtMDktMjQSA1BVShoDTUJKMAESBxIFQ09BQ0gaAh AEIAIaCAgBEgQaACIAIAEyCAir8N-6BhABOgA%3D Hotel stay in Bahamas At Castaway Resort & Suites https://www.expedia.com/HotelSearch?selected=127066&locale=en_US&HotelID=127066&siteid=1&semci d=US.UB.GOOGLE.PT-cEN.HOTEL&semdtl=a115309028775.b1131189560475.g1kwd298779473270.e1c.m1CjwKCAjw_4S3BhAAEiwA_64YhgfBaSeg1ielD5qu3 h2v0RHoWZMW0cHVOc2HXwW0uAtzpgyzM1fGhoC1D0QAvD_BwE.r13e6dedb1c61f1f3e 3e4e768577446c6c810aad6d1918e48d597a59d12b3b2df1.c1.j19070375.k120 44.d1650421705810.h1e.i1.l1.n1.o1.p1.q1.s1.t1.x1.f1.u1.v1.w1&gad_source= 1&gclid=CjwKCAjw_4S3BhAAEiwA_64YhgfBaSeg1ielD5qu3h2v0RHoW ZMW0cHVOc2HXwW0uAtzpgyzM1fGhoC1D0QAvD_BwE&startDate=202409-17&endDate=2024-0924&regionId&destination=Castaways%20Resort%20and%20Suites&them e=&userIntent=&useRewards=false&sort=RECOMMENDED&latLong= &adults=4&children=&pwaDialog=&mapBounds=&allowPreAppliedFilte rs=true Flight from NY in USA to Nassau Lynden Pindling https://www.expedia.com/FlightInformation?journeyContinuationId=AQrOAgqtAnY1LXNvcy04NjM2M mFkZjM4Y2U0NmZkYjg3Mjc4Y2Q5YWVkMzg5Ni0xLTg1OS0xfjIuU35 BUW9DQ0FFU0J3alVCQkFCR0FFb0FsSUV1NzhDQUZnQ2NBQjZBMk ptYzRnQjRkTFpScEFCQVFQVFvNENqWUl4SmdCRWdReE9UQTNHS2xSSUkyUUFTanQ3OWNDT UxQeDF3STRSVUFBV0FGcUNVSkJVMGxEUlVOUFRuSUlURTVPUVR CT1Fsb0tPQW8yQ01TWUFSSUVNVGd6T1JpTmtBRWdxVkVvNk1EW UFqQ293dGdDT0VWQUFGZ0JhZ2xDUVZOSlEwVkRUMDV5Q0ZaT1R rWXdVMEphRWdvSUFSQUJHQUVxQWtSTUdBUWlCQWdCRUFRb0 FpZ0RLQVF3QVERAAAAAADwl0AiAQEqBRIDCgExagkJAAAAIMOC qz8SRwoaCgoyMDI0LTA5LTE3EgNKRksaA05BUzABOAEKGgoKMjAy NC0wOS0yNBIDTkFTGgNKRkswATgBEgcSBUNPQUNIGgIQBCACGg gIARIEGgAiACABMggIq_DfugYQAToA 22 Additional Cost in Punta Cana Car Service https://www.expedia.com/MultiItemCheckout?tripid=6309de25-c2e4-56388e18-a68dc76fd2b7 Appendix 1. What gender are you? Female Male 23 2. What age group do you belong to? 13 to 20 years 21 to 27 years 28 to 34 years 35 years or over 3. Have you ever travelled before? Yes No 4. Where would you prefer to go on a family vacation? AC Hotel (Jamaica) Fiesta Sol Caribe Playa Los Corals (Bahamas) Castaways Resorts &Suites (Punta Cana) 5. Where would you recommend someone to go on a family vacation? Jamaica USA Panama Bahamas 6. Why do you think people go on family vacations? 7. How long do you normally prefer to stay on a family vacation? Less than 7 days 7 to 11 days 12 to 16 days 17 days and over 24 8. What mode of transportation do you prefer when travelling to nearby destinations? Train Taxi Bus Rental car 9. Which area of a family vacation do you think has the highest cost? Transportation (airfare, car rental) Food and Drinks Accommodations (hotels, vacation home) Entertainment (sightseeing, attractions) 10. Do you think that family vacations are more expensive in Jamaica? Yes No 25 26
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