Investigating the Rising Cost of MTA Transit Fare

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Name:Project “1: ( / I D pts) 2- week period[Dear student you may consult vwth other students for he.1?, titrt under nocircumstances take someonetee *rarfc a.cd claim .:r ro he yours]In this activity you will be investigating the r sing cost of the MTA transit iare□■.'era period of time in New York City. The goal is to use data to develop a simplemathematical mc-del which can be used tn make some reasonab e predictions.You will ncorporato the use of algebraic skills such as graphing, rate of changeand linear function to complete th s activity.■Step1: 1"traduction ( 2pts]Read through this actvity arc then write a brief introduction of thegoals n this actvity.The ma n goals oi th s project are in investigate and predict the rising costof transit fares since 1370 and develop predictions for 2018 and 2(120. 1will need to illustrate the relationships between the time and cost increaseof the MTA transit fee through graphs. In order ro achieve these goals, theappropriate use oi algebraic ano mathematcal sks is needed torepresent different types of graphs using excel. In addition, basic excelski s are requ red ro create linear modelling ano I "ear function graphs.■Step 2: Scatter Plot( 5pts)Use the fallowing data provided i n the table below ro obtain a scatterplot oi time vs. price. Describe the trend of the price i n the plot. Do youfindthe trend shocking?Time linePrice dollaps1970ED.201980ED.502003E2.00

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2009$2.252013$2.5020152.75The independent variable is the x-axis since it represents the time in years. The y-axis is the price of the MTA trans t fare because it's the dependent variable. Thepattern that I observed from the graph is that the price of the MTA transit fare ispositive and strong Then I noticed the trend Ene is mostly constant, this provesthat s constant1increasing similarly an average. Specifically, I find it shockingthat during the time between 1980 to 2003 the price of the MTA fare increasesdramaticalto-.

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1Step 3: Defining ynur variables.(2 pts)Identify your independent and dependent variables using appropriatesymbols to state them.Let the independent var able ?? represents the time in years and thedependent variable ?? rep resents the cost in dollars.The independent var able is x the time represented in years sincethe years change repeated. ih s affects the dependent variab e.The' dependent var able is y the price or cost of N Y C MTA transittare. The y is represented in dollars sinceit'saffected by the yearsthat pass. Overall, this suggests that the rise o i the NYC transit latedepends o n the years that continue to passStep 4: Average rate of Change (4 ptsjCompute the average rate ofchangeper year of the cost over each timeperiod.J u s tfill in theresult;don't'show the calculation.Time LinePnce(dollars)Average rate ofchange197030.20XXXXXXXXXXXXX193030.500.03200332.000.152DO932.250.032D1332.500.032D1532.750.03Do these values suggest a friear trend? Explain.These values do suggest a linear trend. From the graph, I noticed that thevalues are primary increasing over the years at a constant rate. I alsospecficalfy notice that from 2003 to 2C15 the price in dollars o i the MTAtrans-: fare increased b y SO.25. In order for the linear trend to show anincrease the linear trend must be positive.Thus,by the creation o i a lineartrend, an analysis can be created for the data.

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