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Investigating the Rising Cost of MTA Transit Fare

Explore a math-based analysis of rising MTA transit fares over time. Use algebra, scatter plots, and linear modeling in Excel to investigate trends and predict future prices. Great for students learning real-world math applications.

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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 no circumstances 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 □■ .'er a period of time in New York City. The goal is to use data to develop a simple mathematical 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 change and linear function to complete th s activity. ■ Step 1: 1"traduction ( 2pts] Read through this actvity arc then write a brief introduction of the goals n this actvity. The ma n goals oi th s project are in investigate and predict the rising cost of transit fares since 1370 a n d develop predictions for 2018 and 2(120. 1 will need to illustrate the relationships between the time and cost increase of the MTA transit fee through graphs. In order ro achieve these goals, the appropriate use oi algeb r aic ano mathematcal sk s is needed to represent different types of graphs using excel. In addition, basic excel ski 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 scatter plot oi time vs. price. Describe the trend of the price i n the plot. Do you find the trend shocking? Time line Price dolla p s 1970 ED.20 1980 ED.50 2003 E2.00

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    2009 $2.25 2013 $2.50 2015 2.75 The independent variable is the x-axis since it represents the time in years. The y- axis is the price of the MT A trans t fare because it's the dependent variable. The pattern that I observed from the graph is that the price of the MTA transit fare is positive and strong Then I noticed the trend Ene is mostly constant, this proves that s constant 1 increasing similarly an average. Specifically, I find it shocking that during the time between 1980 to 2003 the price of the MTA fa r e increases dramaticalto - .

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    1 Step 3: Defining ynur variables.(2 pts) Identify your independent and dependent variables using appropriate symbols to state them. Let the inde pendent var able ?? represents the time in years and the dependent variable ?? rep resents the cost in dollars. The independent var able is x the time represented in years since the 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 transit tare. The y is represented in dollars since it's affected by the years that pass. Overall, this suggests that the rise o i the NYC transit late depends o n the years that continue to pass Step 4: Average rate of Change (4 ptsj Compute the average rate of change per year of the cost over each time period. J u s t fill in the result; don't' show the calcu lation. Time Line Pnce(dollars) Average rate of change 1970 30.20 XXXXXXXXXXXXX 1930 30.50 0.03 2003 32.00 0.15 2DO9 32.25 0.03 2D13 32.50 0.03 2D15 32.75 0.03 Do these values suggest a friear trend? Explain. These values do suggest a linear trend. From the graph, I noticed that the values are primary increasing over the years at a constant rate. I also specficalfy notice that from 2003 to 2C15 the price in dollars o i the MT A trans - : fare increased b y SO. 25. In order for the linear trend to show an increase the linear trend must be positive. Thus, by the creation o i a linear trend, an analysis can be created for the data.

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